Springer Customized Book List...Oct 09, 2007 · spatial logics have attracted much attention in...

springer.comABCD

FRANKFURT

BOOKFAIR

2007

Springer Customized Book ListMathematics

springer.com/booksellers Mathematics 1

J. Abonyi, Pannon University, Hungary; B. Feil, Pannon University,

Hungary

Cluster Analysis for Data Mining

and System Identification

This book presents new approaches to data miningand system identification. Algorithmsthat can beused for the clustering of data have been overviewed.New techniques andtools are presented for the clus-tering, classification, regression and visualization of-complex datasets. Special attention is given to theanalysis of historical process data,tailored algorithmsare presented for the data driven modeling of dy-namical systems,determining the model order ofnonlinear input-output black box models, and the-segmentation of multivariate time-series. The mainmethods and techniques areillustrated through sev-eral simulated and real-world applications from datamining andprocess engineering practice. The booksis aimed primarily at practitioners, researches, andprofessionals in statistics,data mining, business intel-ligence, and systems engineering, but it is also acces-sible tograduate and undergraduate students in ap-plied mathematics, computer science, electricalandprocess engineering. Familiarity with [..]

Features

Detailed overview of the most powerful algortihmsand approaches for data mining and system identifi-cation is presented Extensive references give a goodoverview of the current state of the application ofcomputational intelligence in data mining and sys-tem identification, and suggest further reading foradditional research Numerous illustrations to facili-tate the understanding of ideas and methods [..]

Contents

Classical fuzzy cluster analysis.- Visualization of theclustering results.- Clustering for fuzzy model identi-fication.- Fuzzy clustering for system identification.-Fuzzy model based classifiers.- Segmentation of mul-tivariate time-series.

Fields of interest

Applications of Mathematics; Statistical Theory andMethods; Statistics and Computing/Statistics Pro-grams; Statistics for Business/Economics/Math-ematical Finance/Insurance; Statistics for Engi-neering, Physics, Computer Science, Chemistry &Geosciences; Statistics for Life Sciences, Medicine,Health Sciences

Target groups

Practitioners, researchers, and professionals in statis-tics, data mining, business intelligence, and systemsengineering; undergraduate and graduate studentsin applied mathematics, computer science, as well aselectrical and process enigneering

Type of publication

Monograph

Due June 2007

2007. XVIII, 303 p. 120 illus. Hardcover

99,00 €

ISBN 978-3-7643-7987-2

G. Adenier, Växjö University, Växjö, Sweden; A.Y. Khrennikov,

Växjö University, Växjö, Sweden; C.A. Fuchs, Bell Labs, Murray

Hill, NJ, USA (Eds.)

Foundations of Probability and

Physics 4

All papers have been peer reviewed. This was the4th conference arranged by ICMM on probabilisticfoundations of classical and quantum physics. Thefirst three conferences took place in 2000, 2002, and2004. Some closely related conferences are BohmianMechanics 2000 and Quantum Theory: Reconsidera-tion of Foundations 2001, 2003, and 2005. The mainaim of these conferences is to understand the rolethat probability plays in the foundations of physics,theoretical as well as experimental, classical as wellas quantum. In this conference, as well as during ourprevious conferences, we are glad to welcome a fruit-ful assembly of theoretical physicists, experimenters,mathematicians, and even philosophers interested inthe foundations of probability and physics. Amongimportant topics discussed during the conferencewere the probabilistic foundations of quantum me-chanics, as well as the foundations of probabilityitself, the formation theory, quantum computing,quantum cryptography, quantum [..]

Fields of interest

Quantum Physics; Probability Theory and Stochas-tic Processes; Probability and Statistics in ComputerScience

Target groups

Researchers and graduate students in the fields ofquantum physics, mathematical physics, and philos-ophy of science

Type of publication

Proceedings

Due March 2007

2007. XII, 464 p. (Mathematical and Statistical Phsyics, Vol. 889)

Hardcover

154,00 €

ISBN 978-0-7354-0391-8

R.J. Adler, Israel Institute of Technology, Haifa, Israel; J. Taylor,

Stanford University, CA, USA

Random Fields and Geometry

This monograph is devoted to a completely new ap-proach to geometric problems arising in the study ofrandom fields. The groundbreaking material in PartIII, for which the background is carefully preparedin Parts I and II, is of both theoretical and practicalimportance, and striking in the way in which prob-lems arising in geometry and probability are beauti-fully intertwined. The three parts to the monographare quite distinct. Part I presents a user-friendly yetcomprehensive background to the general theoryof Gaussian random fields, treating classical topicssuch as continuity and boundedness, entropy andmajorizing measures, Borell and Slepian inequali-ties. Part II gives a quick review of geometry, bothintegral and Riemannian, to provide the reader withthe material needed for Part III, and to give somenew results and new proofs of known results alongthe way. Topics such as Crofton formulae, curvaturemeasures for stratified manifolds, critical point theo-ry, and tube formulae are covered. [..]

Features

Recasts old topics in random fields by following acompletely new way of handling both geometry andprobability Significant exposition of the work of oth-ers in the field Excellent reference work as well as ex-cellent work for self study

Contents

Preface.- Part I. Gaussian Processes. Gaussian Fields.Gaussian Inequalities. Orthogonal Expansions. Ex-cursion Probabilities. Stationary Fields.- Parat II. Ge-ometry. Integral Geometry. Differential Geometry.Piecewise Smooth Manifolds. Critical Point Theory.Volume of Tubes.- Part III. The Geometry of Ran-dom Fields. Random Fields on Euclidean Spaces.Random Fields on Manifolds. Mean Intrinsic Vol-umes. Excursion Probabilities for Smooth Fields.Non-Gaussian Geometry.- References.- Index.

Fields of interest

Probability Theory and Stochastic Processes; Geom-etry; Statistics, general; Mathematical Methods inPhysics

Target groups

Graduate students in Pure/Applied Probability andStatistics, researchers in a broad area of Mathematics

Type of publication

Monograph

Due July 2007

2007. XVII, 448 p. 21 illus. (Springer Monographs in Mathematics)

Hardcover

54,95 €

ISBN 978-0-387-48112-8

2 Mathematics springer.com/booksellers

H.-S. Ahn, Gwangju Institute of Science and Technology,

Gwangju, Korea; K.L. Moore, Colorado School of Mines, Golden,

CO, USA; Y. Chen, Utah State University, Logan, UT, USA

Iterative Learning Control

Robustness and Monotonic Convergence for Interval Systems

This monograph studies the design of robust, mono-tonically-convergent iterative learning controllers fordiscrete-time systems. Considering iterative learningcontrol (ILC) in the iteration domain, a unified anal-ysis and design framework is presented that enablesdesigners to consider both robustness and monoton-ic convergence for typical uncertainty models. Top-ics include: Conversion of the ILC system, which hasdynamics in both the time and iteration domains, in-to the supervector framework, with dynamics only inthe iteration domain.- Development of iteration-do-main uncertainty models in the supervector frame-work.- ILC design for monotonic convergence forplant subject to parametric interval uncertainty inthe Markov matrix.- Algebraic H-infinity design forILC for plant subject to iteration-domain frequencyuncertainty.- Kalman-filter-based ILC algorithms forplant subject to iteration-domain stochastic uncer-tainties.- Analytical determination of the base-lineerror of ILC algorithms.

Features

Shows the reader how to use robust iterative learningcontrol in the face of model uncertainty Helps to im-prove the performance of repetitive electromechani-cal tasks, widespread in industry Provides a roundedand self-contained approach to the subject of itera-tive learning control not available elsewhere

Contents

Part I: Iterative Learning Control Overview.- Intro-duction.- An Overview of the ILC Literature.- TheSuper-vector Approach.- Part II: Robust IntervalIterative Learning Control.- Robust Interval Itera-tive Learning Control: Analysis.- Schur Stability Ra-dius of Interval Iterative Learning Control.- IterativeLearning Control Design Based on Interval ModelConversion.- Part III: Iterative Learning Control: It-eration-domain Robustness.- Robust Iterative Learn-ing Control: H-infinity Approach.- Robust IterativeLearning Control: Stochastic Approaches.- Conclu-sions.- Appendices: Taxonomy of [..]

Fields of interest

Control Engineering; Systems Theory, Control; Ar-tificial Intelligence (incl. Robotics); Automation andRobotics; Bioinformatics; Biomedical Engineering

Target groups

Control systems researchers in academic or govern-ment laboratories; graduate students in mathemat-ics or engineering whose focus is intelligent controlor working in systems biology; industrial control en-gineers working in robotics-oriented manufactur-ing, batch-oriented manufacturing, chemical processcontrol, repetitive electromechanical processes; li-braries

Type of publication

Monograph

Due June 2007

2007. XVIII, 230 p. (Communications and Control Engineering)

Hardcover

76,95 €

ISBN 978-1-84628-846-3 M. Aiello, University of Groningen, The Netherlands; I.E. Pratt-

Hartmann, University of Manchester, UK; J.F.A.K.v. Benthem, Uni-

versity of Amsterdam, The Netherlands (Eds.)

Handbook of Spatial Logics

A spatial logic is a formal language interpreted overany class of structures featuring geometrical entitiesand relations, broadly construed. In the past decade,spatial logics have attracted much attention in re-sponse to developments in such diverse fields as Ar-tificial Intelligence, Database Theory, Physics, andPhilosophy. The aim of this handbook is to create,for the first time, a systematic account of the fieldof spatial logic. The book comprises a general in-troduction, followed by fourteen chapters by invit-ed authors. Each chapter provides a self-containedoverview of its topic, describing the principal resultsobtained to date, explaining the methods used to ob-tain them, and listing the most important open prob-lems. Jointly, these contributions constitute a com-prehensive survey of this rapidly expanding subject.

Features

The first systematic account of the field of spatiallogic Of interest to academics and graduate studentsworking in the areas of Geometry, Topology, Logic,Computer Science and Philosophy Gathers togeth-er results on logic and geometry currently scatteredover many different disciplines Each chapter is a self-contained survey of a particular topic in spatial logic

Contents

1. What is Spatial Logic? M. Aiello, I.Pratt-Hart-mann & J.van Benthem, - 2. First-OrderMereotopology.I.Pratt-Hartmann - 3. Axioms, Al-gebras and Topologies. B. Bennett and I. Duentsch-4. Qualitative Spatial Reasoning Using ConstraintCalculi.J. Renz and B. Nebel- 5. Modal Log-ics of Space. J.van Benthem and G. Benzhanishvili- 6. Topology and Epistemic Logic. R. Parikh,L. Moss & C. Steinsvold- 7. Logical theo-ries for Fragments of Elementary Geometry. P. Bal-biani, V. Goranko, R. Kellerman & D.Vakarelov- 8. Locales and Toposes as Spaces. S.Vickers- 9. Spatial [..]

Fields of interest

Philosophy of Science; Mathematical Logic andFoundations; Geometry; Mathematical Logic andFormal Languages; Topology; Artificial Intelligence(incl. Robotics)

Target groups

Academics and graduate students working in (or in-terested in working in) the area of logical approachesto geometry and topology; mathematicians, theoreti-cal computer scientists and philosophers

Type of publication

Reference work

Due August 2007

2007. XXII, 1058 p. Hardcover

299,00 €

ISBN 978-1-4020-5586-7


M. Aigner, Freie Universität Berlin, Germany

A Course in Enumeration

Combinatorial enumeration is a readily accessi-ble subject full of easily stated, but sometimes tan-talizingly difficult problems. This book leads thereader in a leisurely way from the basic notions toa variety of topics, ranging from algebra to statis-tical physics. Its aim is to introduce the student toa fascinating field, and to be a source of in-formation for the professional mathematician whowants to learn more about the subject. The book isorganized in three parts: Basics, Methods, and Top-ics. There are 666 exercises, and as a special featureevery chapter ends with a highlight, discussing a par-ticularly beautiful or famous result.

Fields of interest

Combinatorics; Mathematical and ComputationalPhysics; Discrete Mathematics in Computer Science

Target groups

Junior/senior undergraduates, beginning gradu-ates, professional mathematicians who want to knowmore about the subject

Type of publication

Graduate/advanced undergraduate textbook

Due June 2007

2007. X, 561 p. 55 illus. (Graduate Texts in Mathematics, Vol. 238)

Hardcover

59,95 €

ISBN 978-3-540-39032-9

E.M. Airoldi, D.M. Blei, S.E. Fienberg, A. Goldenberg, E.P. Xing, A.X.

Zheng (Eds.)

Statistical Network Analysis:

Models, Issues, and New Directions

ICML 2006 Workshop on Statistical Network Analysis, Pitts-

burgh, PA, USA, June 29, 2006, Revised Selected Papers

This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Sta-tistical Network Analysis: Models, Issues, and NewDirections held in Pittsburgh, PA, USA in June 2006as associated event of the 23th International Con-ference on Machine Learning, ICML 2006. The 12revised full papers and 4 invited lectures present-ed together with the summary of the closing paneldiscussion were carefully revised and selected dur-ing two rounds of reviewing and improvement fromthe presentations at the workshop. The papers focuson probabilistic methods for network analysis, pay-ing special attention to model design and compu-tational issues of learning and inference. The work-shop brings together statistical network modeling re-searchers from different communities to create andmotivate novel modeling approaches, diverse appli-cations, and new research directions.

Fields of interest

Computer Communication Networks; Probabilityand Statistics in Computer Science; Information Sys-tems Applications (incl.Internet); Information Stor-age and Retrieval; Algorithm Analysis and ProblemComplexity

Target groups

Researchers and professionals

Type of publication

Proceedings

Due July 2007

2007. VIII, 197 p. Also available online. (Lecture Notes in Comput-

er Science, Vol. 4503) Softcover

42,00 €

ISBN 978-3-540-73132-0

H. Akiyoshi, Osaka University, Osaka, Japan; M. Sakuma, Hi-

roshima University, Higashi-Hiroshima, Japan; M. Wada, Nara

Women's University, Nara, Japan; Y. Yamashita, Nara Women's

University, Nara, Japan

Punctured Torus Groups and 2-

Bridge Knot Groups (I)

This monograph is Part 1 of a book project intend-ed to give a full account of Jorgensen's theory ofpunctured torus Kleinian groups and its general-ization, with application to knot theory. AlthoughJorgensen's original work was not published in com-plete form, it has been a source of inspiration. In par-ticular, it has motivated and guided Thurston's revo-lutionary study of low-dimensional geometric topol-ogy. In this monograph, we give an elementary andself-contained description of Jorgensen's theory witha complete proof. Through various informative il-lustrations, readers are naturally led to an intuitive,synthetic grasp of the theory, which clarifies how avery simple fuchsian group evolves into complicatedKleinian groups.

Contents

Jorgensen's picture of quasifuchsian punctured torusgroups.- Fricke surfaces and PSL(2,C)-representa-tions.- Labeled representations and associated com-plexes.- Chain rule and side parameter.- Special ex-amples.- Reformulation of the main theorem andoutline of the proof.- Openness.- Closedness.- Alge-braic roots and geometric roots.- Appendix.- Refer-ences.- Index.

Fields of interest

Manifolds and Cell Complexes (incl. Diff.Topology);Functions of a Complex Variable; Group Theory andGeneralizations

Target groups

Researchers and graduate students in Kleiniangroup, hyperbolic, geometry, low dimensional topol-ogy and geometry, knot theory, and Teichmüller the-ory

Type of publication

Monograph

Due June 2007

2007. XLIII, 252 p. (Lecture Notes in Mathematics, Vol. 1909) Soft-

cover

39,95 €

ISBN 978-3-540-71806-2


J. Albert, Bowling Green State University, Bowling Green, OH,

USA

Bayesian Computation with R

There has been a dramatic growth in the develop-ment and application of Bayesian inferential meth-ods. Some of this growth is due to the availability ofpowerful simulation-based algorithms to summa-rize posterior distributions. There has been also agrowing interest in the use of the system R for statis-tical analyses. R's open source nature, free availabil-ity, and large number of contributor packages havemade R the software of choice for many statisticiansin education and industry. Bayesian Computationwith R introduces Bayesian modeling by the use ofcomputation using the R language. The early chap-ters present the basic tenets of Bayesian thinking byuse of familiar one and two-parameter inferentialproblems. Bayesian computational methods such asLaplace's method, rejection sampling, and the SIR al-gorithm are illustrated in the context of a random ef-fects model. The construction and implementationof Markov Chain Monte Carlo (MCMC) methods isintroduced. These simulation-based algorithms are[..]

Features

Introduces Bayesian modeling by use of computationusing the R language

Contents

An introduction to R.- Introduction to Bayesianthinking.- Single parameter models.- Multiparame-ter models.- Introduction to Bayesian computation.-Markov chain Monte Carlo methods.- Hierarchicalmodeling.- Model comparision.- Regression mod-els.- Gibbs sampling.- Using R to interface with Win-BUGS.

Fields of interest

Statistics and Computing/Statistics Programs; Sim-ulation and Modeling; Computational Mathematicsand Numerical Analysis; Visualization; Optimization

Target groups

Instructors, students, practitioners

Type of publication


Due August 2007

2007. X, 267 p. (Use R) Softcover

39,95 €

ISBN 978-0-387-71384-7

F. Aleskerov, Stat University 'Higher School of Economics',

Moscow, Russia; D. Bouyssou, CNRS, LAMSADE, University Paris I,

France; B. Monjardet, CERMSEM, Paris, France

Utility Maximization, Choice and

Preference

The utility maximization paradigm forms the ba-sis of many economic, psychological, cognitive andbehavioral models. Since it was first devised in theeighteenth century, numerous examples have re-vealed the deficiencies of the concept. This bookmakes a contribution to overcome those deficienciesby taking into account insensitivity of measurementthreshold and context of choice. It covers classic the-ory as a special, context-free case and gives a system-atic overview of new models of utility maximizationwithin a context-dependent threshold as well as re-lated preference and choice models. The second edi-tion has been updated to include the most recent de-velopments and a new chapter on classic and new re-sults for infinite sets. The presented models will behelpful to scientists in economics, decision makingtheory, social choice theory, behavioral and cognitivesciences, and related fields.

Contents

Introduction.- Preference, Utility, and Choice: Clas-sic Models.- Utility Maximization Within a ConstantThreshold or a Threshold Depending on One Alter-native.- Utility Maximization Within a ThresholdDepending on Both Compared Alternatives.- UtilityMaximization Within a Context-dependent Thresh-old.- Numerical Representation of Binary Relationson Infinite Sets.- Conclusion.

Fields of interest

Economic Theory; Game Theory, Economics, Socialand Behav. Sciences

Target groups

Scientists

Type of publication

Monograph

Due July 2007

Originally published as Volume 16 in the series: Studies in Eco-

nomic Theory

2007. XII, 283 p., 49 illus. Hardcover

79,95 €

ISBN 978-3-540-34182-6

T. Aliev, Azerbaijan National Academy of Sciences, Baku City,

Azerbaijan

Digital Noise Monitoring of Defect

Origin

Digital Noise Monitoring of Defect Origin is for bothacademics and professionals in the fields of engi-neering, biological sciences, physical science, and au-tomation with particular emphasis on power engi-neering, oil-and-gas extraction, and aviation amongothers. The focus of the book is on determining de-fect origins. The author divides the process into thestages of monitoring the defect origin, identificationof the defect and its stages, and control of the defect.The significance of this work is also connected tothe possibility of using the noise as a data carrier forcreating technologies that detect the initial stage ofchanges in objects.

Features

Includes several technologies that cover the initialstage of the origin of the defect Theoretically provesthe various technologies Exemplifies the applicationsfor solving problems concerning noise monitoring atthe beginning of the defect origin

Contents

Preface.- Difficulties of Defect Monitoring at itsOrigin and its Dataware Features.- Position-Bina-ry Technology of Monitoring Defect at its Origin.-Technology of Digital Analysis of Noise as a Carri-er of Information about the Beginning of Defect Ori-gin.- Robust Correlation Monitoring of a Defect atits Origin.- Spectral Monitoring of Defect Origin.-Digital Technology of Forecasting Failures by Con-sidering Noise as a Data Carrier.- Technology ofMonitoring Defect Origin by Considering Noise as aData Carrier.

Fields of interest

Signal,Image and Speech Processing; Applicationsof Mathematics; Communications Engineering, Net-works; Electronic and Computer Engineering

Target groups

Professional engineers in the fields of power engi-neering, computer science, automation and trans-portation

Type of publication

Monograph

Due July 2007

2007. XIV, 235 p. (Lecture Notes Electrical Engineering, Vol. 2)

Hardcover

114,95 €

ISBN 978-0-387-71753-1


C.D. Aliprantis, Purdue University, West Lafayette, IN, USA; K.C.

Border, California Institute of Technology, Pasadena, CA, USA

Infinite Dimensional Analysis

A Hitchhiker's Guide

This monograph presents a complete and rigorousstudy of modern functional analysis. It is intendedfor the student or researcher who could benefit fromfunctional analytic methods, but does not have anextensive background and does not plan to make acareer as a functional analyst. It develops the topo-logical structures in connection with measure theory,convexity, Banach lattices, integration, correspon-dences (multifunctions), and the analytic approachto Markov processes. Many of the results were previ-ously available only in works scattered throughoutthe literature. The choice of material was motivatedfrom problems in control theory and economics, al-though the material is more applicable than applied.

Features

First book to present functional analysis in a unifiedmanner with applications to economics, social sci-ences, and engineering With lots of new and impor-tant material and additional applications

Contents

A foreword to the practical.- Odds and ends.- Topol-ogy.- Metrizable spaces.- Measureability.- Topo-logical vector spaces.- Normed spaces.- Convex-ity.- Riesz spaces.- Banach lattices.- Charges andmeasures.- Integrals.- Measures and topology.- Lp-spaces.- Riesz Representation Theorems.- Probabilitymeasures.- Spaces of sequences.- Correspondences.-Measurable correspondences.- Markov transitions.-Ergodicity.

Fields of interest

Economic Theory; Functional Analysis; Game Theo-ry/Mathematical Methods

Target groups

Researchers, students

Type of publication

Monograph

Due May 2007

2006. XXII, 703 p. 38 illus. Softcover

64,95 €

ISBN 978-3-540-32696-0

E. Allen, Texas Tech University, TX, USA

Modeling with Itô Stochastic

Differential Equations

Dynamical systems with random influences occurthroughout the physical, biological, and social sci-ences. By carefully studying a randomly varying sys-tem over a small time interval, a discrete stochasticprocess model can be constructed. Next, letting thetime interval shrink to zero, an Ito stochastic differ-ential equation model for the dynamical system isobtained. This modeling procedure is thoroughly ex-plained and illustrated for randomly varying systemsin population biology, chemistry, physics, engineer-ing, and finance. Introductory chapters present thefundamental concepts of random variables, stochas-tic processes, stochastic integration, and stochasticdifferential equations. These concepts are explainedin a Hilbert space setting which unifies and simpli-fies the presentation. Computer programs, giventhroughout the text, are useful in solving represen-tative stochastic problems. Analytical and compu-tational exercises are provided in each chapter thatcomplement the material in the text. [..]

Features

A procedure is thoroughly explained for construct-ing realistic stochastic differential equation modelsMany stochastic differential equation models are de-veloped for randomly varying systems in biology,physics, and finance Random variables, stochasticprocesses, stochastic integration, and stochastic dif-ferential equations are explained in a Hilbert spacesetting which unifies and simplifies the [..]

Contents

From the contents Random Variables.- StochasticProcesses.- Stochastic Integration.- Stochastic Differ-ential Equations.- Modeling{5.3.3} Ion transport.-References.- Basic Notation.- Index.

Fields of interest

Applications of Mathematics; Probability Theory andStochastic Processes; Mathematical Modeling andIndustrial Mathematics; Computational Mathemat-ics and Numerical Analysis

Target groups

Applied mathematicians, Mathematical biologists,Numerical analysts, Financial mathematicians; Prob-abilists, Statisticians, Engineers

Type of publication

Monograph

Due March 2007

2007. XII, 228 p. (Mathematical Modelling: Theory and Applica-

tions, Vol. 22) Hardcover

69,95 €

ISBN 978-1-4020-5952-0

D. Alpay, University of the Negev, Beer Sheva, Israel; V. Vinnikov,

University of the Negev, Beer Sheva, Israel (Eds.)

System Theory, the Schur Algorithm

and Multidimensional Analysis

This volume contains six peer-refereed articles writ-ten on the occasion of the workshop Operator the-ory, system theory and scattering theory: multidi-mensional generalizations and related topics, heldat the Department of Mathematics of the Ben-Guri-on University of the Negev during the period June26-July 1, 2005. The papers present the newest de-velopments in key directions of current research incomplex analysis and operator theory. Topics con-sidered include Schur analysis, hierarchical semisep-arable matrices, canonical forms for pairs of quater-nionic matrices, the theory of homogeneous opera-tors, algebras of fractions of continuous functions,and moment problems. Schur analysis in its variousaspects occupies more than half of the volume, andmoments problems have also an important place inthe papers presented here. The volume will be of in-terest to a wide audience of pure and applied mathe-maticians, electrical engineers and theoretical physi-cists.

Features

Careful selection of longer articles introducing to thetopics and presenting recent results Very active areaof research at the border lines to physics and systemsengineering

Contents

Editorial Introduction.- The Transformation ofSchur in an Indefinite Setting (D. Alpay, A. Dijks-ma, H. Langer).- A Truncated Matricial MomentProblem on a Finite Interval (A. Choque Rivero, Y.Dyukaerv, B. Fritzsche, B. Kirstein).- On the Irre-ducibility of a Class of Homogeneous Operators (G.Misra, S. Shyan Roy).- Canonical Forms for Quater-nionic Matrix Pencils (L. Rodman).- Algorithmsto Solve Hierarchically Semi-separable Systems (Z.Sheng, P. Dewilde, S. Chandrasekaran).- Unbound-ed Normal Algebras and Spaces of Fractions (F.-H.Vasilescu).

Fields of interest

Operator Theory; Analysis

Target groups

Graduates, postgraduates and researchers in opera-tor theory and matrix theory; electrical engineers

Type of publication

Collection of essays

Due March 2007

2007. IX, 322 p. (Operator Theory: Advances and Applications,

Vol. 176) Hardcover

129,00 €

ISBN 978-3-7643-8136-3


I. Amidror, Ecole Polytechnique Fédérale de Lausanne (EPFL),

Switzerland

The Theory of the Moiré

Phenomenon

Volume II Aperiodic Layers

This book presents for the first time the theory of themoiré phenomenon between aperiodic or randomlayers. It is a complementary, yet stand-alone com-panion to the original volume by the same author,which was dedicated to the moiré effects that occurbetween periodic or repetitive layers. Just like thefirst volume, this book provides a full general pur-pose and application-independent exposition of thesubject. It leads the reader through the various phe-nomena which occur in the superposition of corre-lated aperiodic layers, both in the image and in thespectral domains. Throughout the whole text thebook favours a pictorial, intuitive approach which issupported by mathematics, and the discussion is ac-companied by a large number of figures and illustra-tive examples, some of which are visually attractiveand even spectacular. The prerequisite mathematicalbackground is limited to an elementary familiaritywith calculus and with the Fourier theory.

Features

The only existing book on this subject Provides ageneral purpose, application independent expositionof the subject Favours a pictorial, intuitive approachwhich is supported by mathematics Accompanied bya large number of figures and illustrative examples

Fields of interest

Applications of Mathematics; Fourier Analysis; Ap-plied Optics, Optoelectronics, Optical Devices; Visu-alization

Target groups

Students, scientists, engineers and readers who wishto widen their knowledge of the moiré effect and itsrelationship with random or aperiodic structures

Type of publication

Contributed volume

Due June 2007

2007. XVI, 496 p. (Computational Imaging and Vision, Vol. 34)

Hardcover

79,95 €

ISBN 978-1-4020-5457-0

H. Ammari, Ecole Polytechnique, Palaiseau, France; H. Kang,

Seoul National University, Seoul, Korea

Polarization and Moment Tensors

With Applications to Inverse Problems and Effective Medium

Theory

This book presents important recent developmentsin mathematical and computational methods usedin impedance imaging and the theory of compositematerials. The methods involved come from variousareas of pure and applied mathematics, such as po-tential theory, PDEs, complex analysis, and numeri-cal methods. The unifying thread in this book is theuse of generalized polarization and moment tensors.The main approach is based on modern layer poten-tial techniques. By augmenting the theory with inter-esting practical examples and numerical illustrations,the exposition brings simplicity to the advanced ma-terial. An introductory chapter covers the necessarybasics. With its extensive list of references and openproblems, the book should enhance accessibility tospecialized literature and stimulate progress in thefields of impedance imaging and composite mate-rials. Graduate students and researchers in appliedmathematics will benefit from this book. Researchersin engineering and physics might also find [..]

Features

Presents important developments in mathemati-cal and computational methods used in impedanceimaging and the theory of composite materials The-ory is augmented by interesting practical examplesand numerical illustrations Open problems at theend of each chapter Extensive bibliography enhancesaccessibility to specialized literature

Contents

Introduction.- Layer Potentials and TransmissionProblems.- Uniqueness for Inverse ConductivityProblems.- Generalized Isotropic and Anisotrop-ic Polarization Tensors.- Full Asymptotic Formulafor the Potentials.- Near-Boundary Conductivity In-clusions.- Impedance Imaging of Conductivity In-clusions.- Effective Properties of Electrical Compos-ites.- Transmission Problem for Elastostatics.- ElasticMoment Tensor.- Full Asymptotic Expansion of theDisplacement Field.- Imaging of Elastic Inclusions.-Effective Properties of Elastic Composites.- Appen-dices.- References.- Index.

Fields of interest

Applications of Mathematics; Biomedical Engineer-ing; Potential Theory; Partial Differential Equations;Imaging / Radiology

Target groups

Graduate students, researchers

Type of publication

Monograph

Due August 2007

2007. X, 312 p. 25 illus. (Applied Mathematical Sciences, Vol. 162)

Hardcover

69,95 €

ISBN 978-0-387-71565-0

A.R.A. Anderson, University of Dundee, UK; M.A.J. Chaplain, Uni-

versity of Dundee, UK; K.A. Rejniak, University of Dundee, UK

(Eds.)

Single-Cell-Based Models in Biology

and Medicine

Many different single-cell-based models have beendeveloped and applied to biological and medicalproblems. Computational approaches used areMonte-Carlo simulations, energy minimisation tech-niques, volume conservation laws, solutions of theequations of motion for each individual cell or foreach point on the cell membrane. They differ inthe level of detail that defines the cell structure andsubsequently in the number of individual cells thatthe model can incorporate. This volume presents acollection of mathematical and computational sin-gle-cell-based models and their application. Themain sections cover four general model groupings:hybrid cellular automata, cellular potts, lattice-freecells, and viscoelastic cells. Each section is intro-duced by a discussion of the applicability of the par-ticular modelling approach and its advantages anddisadvantages, which will make the book suitable forstudents starting research in mathematical biology aswell as scientists modelling multicellular processes.

Features

Focuses on structural, dynamical and functional as-pects of cellular systems Presents corresponding ex-periments and mathematical models Introduces re-cent model approaches with applications Includesapplied issues such as tumor cell growth, blood clot-ting and biotechnology

Contents

A Hybrid Multiscale Model of Tumour Invasion:Evolution and the Microenvironment.- Lattice-gasCellular Automaton Modelling of Developing CellSystems.- Two-dimensional Multiscale Model ofCell Motion in a Chemotactic Field.- Magneti-zation to Morphogenesis: A Brief History of theGlazier-Graner-Hogeweg Model.- The Cellular PottsModel and Biophysical Properties of Cells, Tissuesand Morphogenesis.- The Cellular Potts Model inBiomedicine.- The Glazier-Graner-Hogeweg Model:Extensions, Future Directions, and Opportunities forFurther Study.- Center-based Single-cell Models: AnApproach [..]

Fields of interest

Mathematical Biology in General

Target groups

Postgraduate students and scientists in biolo-gy, bioinformatics, biomathematics, biophysics,medicine and engineering; scientific libraries

Type of publication

Monograph

Due June 2007

2007. IX, 349 p. 126 illus., 27 in color. With DVD. (Mathematics

and Biosciences in Interaction) Hardcover

129,00 €

ISBN 978-3-7643-8101-1


A. Antoniou, University of Victoria, BC, Canada; W.-S. Lu, Universi-

ty of Victoria, BC, Canada

Practical Optimization

Algorithms and Engineering Applications

Practical Optimization: Algorithms and Engineer-ing Applications provides a hands-on treatment ofthe subject of optimization. A comprehensive set ofproblems and exercises makes the book suitable foruse in one or two semesters of a first-year graduatecourse or an advanced undergraduate course. Eachhalf of the book contains a full semester’s worth ofcomplementary yet stand-alone material. The prac-tical orientation of the topics chosen and a wealthof useful examples also make the book suitable forpractitioners in the field. Advancements in the effi-ciency of digital computers and the evolution of reli-able software for numerical computation during thepast three decades have led to a rapid growth in thetheory, methods, and algorithms of numerical op-timization. This body of knowledge has motivatedwidespread applications of optimization methods inmany disciplines, e.g., engineering, business, and sci-ence, and has subsequently led to problem solutionsthat were considered intractable not too long ago.

Features

Extensively class-tested Provides a complete teach-ing package with MATLAB exercises and online so-lutions to end-of-chapter problems Includes meth-ods of emerging interest such as semidefinite pro-gramming and second-order cone programmingPresents a unified treatment of unconstrained andconstrained optimization Uses a practical treatmentof optimization accessible to broad audience Ap-pendix includes background theory

Contents

The Optimization Problem.- Basic Principles.- Gen-eral Properties of Algorithms.- One-DimensionalOptimization.- Basic Multidimensional GradientMethods.- Conjugate-Direction Methods.- Quasi-Newton Methods.- Minimax Methods.- Applica-tions of Unconstrained Optimization.- Fundamen-tals of Constrained Optimization.- Linear Program-ming Part I: The Simplex Method.- Linear Program-ming Part II: Interior-Point Methods.- Quadraticand Convex Programming.- Semidefinite and Sec-ond-Order Cone Programming.- General Nonlin-ear Optimization Problems.- Applications of Con-strained Optimization.

Fields of interest

Numerical and Computational Methods in Engi-neering; Mathematics of Computing; Optimization;Signal,Image and Speech Processing; Automationand Robotics; Communications Engineering, Net-works

Target groups

Industry professionals, scientists, and students inter-ested in optimization algorithms and their variousapplications

Type of publication


Due May 2007

2007. XIX, 669 p. Hardcover

76,95 €

ISBN 978-0-387-71106-5 L. Arge, M. Hoffmann, E. Welzl (Eds.)

Algorithms - ESA 2007

15th Annual European Symposium, Eilat, Israel, October 8-10,

2007, Proceedings

This book constitutes the refereed proceedings of the15th Annual European Symposium on Algorithms,ESA 2007, held in Eilat, Israel, in October 2007 inthe context of the combined conference ALGO 2007.The 63 revised full papers presented together withabstracts of 3 invited lectures were carefully reviewedand selected: 50 papers out of 165 submissions forthe design and analysis track and 13 out of 44 sub-missions in the engineering and applications track.The papers address all current subjects in algorith-mics reaching from design and analysis issues of al-gorithms over to real-world applications and engi-neering of algorithms in various fields.

Fields of interest

Algorithm Analysis and Problem Complexity; Nu-meric Computing; Discrete Mathematics in Com-puter Science; Data Structures; Computer Commu-nication Networks; Computer Graphics

Target groups


Type of publication

Proceedings

Due September 2007

2007. XV, 769 p. Also available online. (Lecture Notes in Comput-


84,00 €

ISBN 978-3-540-75519-7


G.N. Arzhantseva, Université de Genève, Switzerland; L. Barthol-

di, Swiss Federal Institute of Technology, Lausanne; J. Burillo,

Universitat Politècnica de Catalunya, Barcelona, Spain; E. Ventu-

ra, Universitat Politècnica de Catalunya, Barcelona, Spain (Eds.)

Geometric Group Theory

Geneva and Barcelona Conferences

This volume assembles research papers in geometricand combinatorial group theory. This wide area maybe defined as the study of those groups that are de-fined by their action on a combinatorial or geometricobject, in the spirit of Klein's programme. The con-tributions range over a wide spectrum: limit groups,groups associated with equations, with cellular au-tomata, their structure as metric objects, their de-composition, etc. Their common denominator is thelanguage of group theory, used to express and solveproblems ranging from geometry to logic.

Features

Contains contributions from experts in geometricand combinatorial group theory, most of which werepresent at the Geneva and Barcelona conferences in2005 Above the diversity of the articles included inthis volume reigns a strong unity of themes and pur-poses: understanding geometrical and logical objectsthrough their symmetries Witnesses to the power ofgroup theory as a language for expressing, [..]

Contents

Preface.- Solution of the Membership Problemfor Magnus Subgroups in Certain One-RelatorFree Products.- Computational Explorations inThompson's Group F.- A General Construction ofJSJ Decompositions.- Conjugacy and Centralizers forIWIP Automorphisms of Free Groups.- AlgebraicExtensions in Free Groups.- Classifying Spaces forWallpaper Groups.- Totally Disconnected, LocallyCompact Groups as Geometric Objects.- On the Sur-jectivity of Artinian Linear Cellular Automata OverResidually Finite Groups.- Some Residually FiniteGroups.- Décompositions de Groupes par ProduitDirect et [..]

Fields of interest

Group Theory and Generalizations

Target groups

Graduates, postgraduates and researchers in algebraand geometric group theory

Type of publication

Proceedings

Due July 2007

2007. 253 p. 39 illus. (Trends in Mathematics) Hardcover

109,00 €

ISBN 978-3-7643-8411-1

S. Asmussen, Aarhus University, Aarhus, Denmark; P.W. Glynn,

Stanford University, Stanford, CA, USA

Stochastic Simulation: Algorithms

and Analysis

Sampling-based computational methods havebecome a fundamental part of the numericaltoolset of practitioners and researchers acrossan enormous number of different applied do-mains and academic disciplines. This book pro-vides a broad treatment of such sampling-basedmethods , as well as accompanying mathe-matical analysis of the convergence properties ofthe methods discussed . The reach of theideas is illustrated by discussing a wide range ofapplications and the models that have found wideusage. Given the wide range of exam-ples, exercises and applications stu-dents, practitioners and researchers in prob-ability, statistics, operations research, eco-nomics, finance, engineering as well as biol-ogy and chemistry and physics will find the book ofvalue.

Features

First rigorous and comprehensive advanced book onstochastic simulation Large amount of exercises andillustrations included Top world wide experts in area

Contents

What this Book is about.- Part A: General Methodsand Algorithms.- Generating Random Objects.- Out-put Analysis.- Steady-State Simulation.- VarianceReduction Methods.- Rare Event Simulation.- Gra-dient Estimation.- Stochastic Optimization.- Part B:Algorithms for Special Models.- Numerical Integra-tion.- Stochastic Differential Equations.- GaussianProcesses.- Lévy Processes.- Markov Chain MonteCarlo Methods.- Selected Topics and Extended Ex-amples.- Appendix.- Bibliography.- Index.

Fields of interest

Probability Theory and Stochastic Processes; Statisti-cal Theory and Methods; Operation Research/Deci-sion Theory; Industrial and Production Engineering;Operations Research, Mathematical Programming;Quantitative Finance

Target groups


Type of publication

Professional book

Due August 2007

2007. XIV, 476 p. (Stochastic Modelling and Applied Probability,

Vol. 57) Hardcover

49,95 €

ISBN 978-0-387-30679-7

L. Barbu, Constanta, Romania; G. Morosanu, Central European

University, Budapest, Hungary

Singularly Perturbed Boundary-

Value Problems

This book offers a detailed asymptotic analysis ofsome important classes of singularly perturbedboundary value problems which are mathematicalmodels for various phenomena in biology, chem-istry, and engineering. The authors are particularlyinterested in nonlinear problems, which have hard-ly been examined so far in the literature dedicatedto singular perturbations. This book proposes to fillin this gap, since most applications are described bynonlinear models. Their asymptotic analysis is veryinteresting, but requires special methods and tools.The treatment presented in this volume combinessome of the most successful results from differentparts of mathematics, including functional analy-sis, singular perturbation theory, partial differentialequations, and evolution equations. Thus a completejustification for the replacement of various perturbedmodels with corresponding reduced models, whichare simpler but in general have a different character,is offered to the reader Specific [..]

Features

Interdisciplinary relevant work Special meth-ods and tools are presented, which alloweasier handling of non-linear and other math-ematical models

Contents

Preface.- I Preliminaries.- 1. Regular and SingularPerturbations.- 2. Evolution Equations in HilbertSpaces.-II Singularly Perturbed Hyperbolic Prob-lems.- 3. Presentation of the Problems.- 4. Hyperbol-ic Systems with Algebraic Boundary Conditions.- 5.Hyperbolic Systems with Dynamic Boundary Condi-tions.- III Singularly Perturbed Coupled BoundaryValue Problems.- 6. Presentation of the Problems.- 7.The Stationary Case.- 8. The Evolutionary Case.- IVElliptic and Hyperbolic Regularizations of ParabolicProblems.- 9. Presentation of the Problems.- 10. TheLinear Case.- 11. The Nonlinear Case.

Fields of interest

Partial Differential Equations

Target groups

Researchers, and graduate students of mathematics,physics, engineering, biology, and chemistry

Type of publication

Monograph

Due May 2007

2007. XIII, 243 p. (International Series of Numerical Mathematics,

Vol. 156) Hardcover

89,90 €

ISBN 978-3-7643-8330-5


P. Barker, BWA Technologies LTD, Midlothian, UK

Java Methods for Financial

Engineering

Applications in Finance and Investment

In order to build a successful, Java-based applica-tion it is important to have a clear understandingof the principles underlying the various financialmodels. Those models guide the application design-er in choosing the most appropriate Java data struc-tures and implementation strategy. This book de-scribes the principles of model building in financialengineering and explains those models as designsand working implementations for Java-based appli-cations. Throughout the book a series of packagedclasses are developed to address a wide range of fi-nancial applications. Java methods are designed andimplemented based on the most widely used mod-els in financial engineering and investment practice.The classes and methods are explained and designedin a way which allows the financial engineer com-plete flexibility. The classes can be used as off-the-shelf working solutions or the innovative developercan re-arrange and modify methods to create newproducts

Features

Provides software professionals with an accessiblesource of numerical methods or ready-to-use codefor use in business applications First book to coverthe topic of Java implementations for finance/invest-ment applications Written specifically to be accessi-ble to software practitioners without prior accoun-tancy/finance training

Contents

Introduction.- Interest Rate Calculations.- Bonds.-Duration.- Futures.- Options.- Modelling StockPrices.- Binomial Model.- Analytical Option PricingMethods.- Sensitivity Measures (The 'Greeks').- In-terest Rate Derivatives.- Conditional Options.-Com-plex Conditional Options.- Single Barrier Type Op-tions.- Double Barrier Options.- Digital Options.-Special Case Barrier Options.- Other Exotics.- Ap-pendix 1.- Appendix 2.

Fields of interest

Software Engineering; Numeric Computing; Proba-bility and Statistics in Computer Science; Quantita-tive Finance; Finance /Banking; Programming Tech-niques

Target groups

Software developers; software engineers; program-mers; postgraduates in Financial Engineering; MBAstudents

Type of publication

Professional book

Due May 2007

2007. XV, 561 p. Hardcover

59,95 €

ISBN 978-1-85233-832-9

J.-L. Basdevant, Ecole Polytechnique, Palaiseau, France

Lectures on Quantum Mechanics

Beautifully illustrated and engagingly written,Twelve Lectures in Quantum Mechanics presentstheoretical physics with a breathtaking array of ex-amples and anecdotes. Basdevant’s style is clear andstimulating, in the manner of a brisk classroom lec-ture that students can follow with ease and enjoy-ment. Here is a sample of the book’s style, from theopening of Chapter 1: "If one were to ask a passer-byto quote a great formula of physics, chances are thatthe answer would be ‘E = mc2’. In fact, of the threewatershed years for physics toward the beginning ofthe 20th century – 1905: the Special Relativity of Ein-stein, Lorentz and Poincaré; 1915: the General Rela-tivity of Einstein, with its extraordinary reflectionson gravitation, space and time; and 1925: the devel-opment of Quantum Mechanics – it is surely the lastwhich has the most profound implications for thedevelopment of science and technology. There is noway around it: all physics is quantum, from elemen-tary particles, to stellar physics [..]

Features

Basdevant is a writer and teacher renowned for hisclarity and lively style These lectures will join Bas-devant & Dalibard's "The Quantum Mechan-ics Solver" as ideal supplements to the standard text-books on quantum mechanics Conveys complexconcepts in the manner of a brisk classroom lecture

Contents

Prologue: An Elegy for Physics.- Wave Functions,The Schrödinger Equation.- The Grandeur ofPhysics.- Quantization of Energies.- Principles ofQuantum Mechanics.- Two-State Systems.- An Alge-bra of Observables.- The Kinetic Moment.- The Hy-drogen Atom.- 1/2 Spin.- The Pauli Exclusion Prin-ciple.- Quantum Entanglement.- Epilogue: QuantumMechanics and the Universe.- Index.

Fields of interest

Quantum Physics; Quantum Computing, Informa-tion and Physics; Elementary Particles, QuantumField Theory; Elementary Particles and Nuclei

Target groups

Advanced undergraduate and graduate students inPhysics, Mathematics, and Chemistry

Type of publication


Due March 2007

Original French edition published by Vuibert, Paris, France, 2005

2007. XVI, 307 p. Hardcover

69,95 €

ISBN 978-0-387-37742-1

V. Basili, University of Maryland, College Park, MD, USA; D. Rom-

bach, Fraunhofer Institut, Kaiserslautern, Germany; K. Schneider,

University Hannover, Germany; B. Kitchenham, Keele University,

Staffordshire, UK; D. Pfahl, University of Calgary, Canada; R. Selby,

Northrop Grumman Space Technology, Redondo Beach, CA, USA

(Eds.)

Empirical Software Engineering

Issues. Critical Assessment and

Future Directions

International Workshop, Dagstuhl Castle, Germany, June

26-30, 2006, Revised Papers

This book constitutes the thoroughly refereed post-proceedings of the International Dagstuhl-Seminaron Empirical Software Engineering, held in DagstuhlCastle, Germany in June 2006. The purpose of thisworkshop was to identify the progress of empiri-cal software engineering since 1992, to summarizethe state-of-the-art in ESE, to summarize the state-of-the-practice in ESE in industry, and to developan ESE roadmap for research, practice, educationand training. The 54 revised full papers in this state-of-the-art survey were carefully reviewed and se-lected from the presentations during the workshop,that provided a forum for a small but representa-tive group of leading experts in software engineer-ing with an emphasis on empirical studies from bothuniversities and industry to meet and reflect on pastsuccesses and failures, assess the current state of thepractice and research, identify challenges, and definefuture directions. The papers are organized in topicalsections on the empirical paradigm, [..]

Fields of interest

Software Engineering; Simulation and Modeling; Da-ta Mining and Knowledge Discovery

Target groups


Type of publication

Proceedings

Due March 2007

2007. XVII, 193 p. Also available online. (Lecture Notes in Com-

puter Science, Vol. 4336) Softcover

45,00 €

ISBN 978-3-540-71300-5


D. Bates, University of Leicester, UK; M. Hagström, FOI Swedish

Defence Research Agency, Stockholm, Sweden (Eds.)

Nonlinear Analysis and Synthesis

Techniques for Aircraft Control

Features

First book focusing on the use of nonlinear analy-sis and synthesis techniques for aircraft control Alsothe first book to address in detail closed-loop controlproblems for aircraft "on-ground" – ie speed and di-rectional control of aircraft before take-off and aftertouch down

Contents

Part I Benchmarks and Design and Analysis chal-lenges.- The AIRBUS on-ground transport aircraftbenchmark.- On-Ground transport aircraft nonlin-ear control design and analysis challenges.- The AD-MIRE benchmark aircraft model.- Nonlinear FlightControl Design and Analysis Challenge.- Part II Ap-plications to the Airbus benchmark.- Nonlinear sym-bolic LFT tools for modelling, analysis and design.-Nonlinear LFT modelling for on-ground transportaircraft.- On-ground aircraft control design using anLPV anti-windup Approach.- Rapid prototyping us-ing inversion-based control and object-oriented [..]

Fields of interest

Control Engineering; Systems Theory, Control

Target groups

Engineers, researchers, and students in control engi-neering, and especially aircraft control

Type of publication

Monograph

Due August 2007

2007. VIII, 360 p. Also available online. (Lecture Notes in Control

and Information Sciences, Vol. 365) Softcover

99,95 €

ISBN 978-3-540-73718-6

C.E. Baum, University of New Mexico, Albuquerque, NM, USA;

A.P. Stone, University of New Mexico, Albuquerque, NM, USA; J.S.

Tyo, University of Arizona, Tucson, AZ, USA (Eds.)

Ultra-Wideband Short-Pulse

Electromagnetics 8

The purpose of the Ultra-Wideband Short-PulseElectromagnetics Conference series is to focus onadvanced technologies for the generation, radia-tion and detection of ultra-wideband short pulsesignals, taking into account their propagationand scattering from and coupling to targets ofinterest. This Conference series reports on de-velopments in supporting mathematical and numer-ical methods and presents current and potential fu-ture applications of the technology. Ultra-WidebandShort-Pulse Electromagnetics 8 is based on theAmerican Electromagnetics 2006 conference heldfrom June 3-7 in Albuquerque, New Mexico. Topicalareas covered in this volume include pulse radiationand measurement, scattering theory, targetdetection and identification, antennas, signal pro-cessing, and communications.

Features

Focuses on advanced technologies for the genera-tion, radiation and detection of ultra-wideband shortpulse signals Reports on developments in supportingmathematical and numerical methods and describescurrent and potential future applications of the tech-nology Written by leading researchers and experts inthe field of ultra-wideband short pulse electromag-netics

Contents

Development of the Impulse Slot Antenna.- A High-Voltage Cable-Fed Impulse Radiating Antenna.-Broadband Self-Complementary Antenna Arrays.-A Quasi-Planar Wide Band Conical Antenna.- Pla-nar Tapered Loop Antennas for Ultra-Wideband Ra-dio Systems.- An Omnidirectional and Low-VSWRUltra Wideband Antenna for a Frequency Band of 6to 40 GHz.- Ultrawideband Band-Notched U-ShapeFolded Monopole Antenna and its Radiation Char-acteristics.- Comparison of UWB Antennas Consid-ering Pattern Variation with Frequency.- DispersiveProperties of Terminal-Loaded Dipole Antennas inUWB Link.- An Approach [..]

Fields of interest

Electromagnetism, Optics and Lasers; Mathematicaland Computational Physics

Target groups

Researchers, scientists

Type of publication

Monograph

Due September 2007

2007. X, 272 p. 200 illus. Hardcover

194,95 €

ISBN 978-0-387-73045-5

F.E. Benth, University of Oslo, Norway; G. Di Nunno, Universi-

ty of Oslo, Norway; T. Lindstrom, University of Oslo, Norway; B.

Øksendal, University of Oslo, Norway; T. Zhang, University of

Manchester, UK (Eds.)

Stochastic Analysis and

Applications

The Abel Symposium 2005

Kiyosi Ito, the founder of stochastic calculus, is oneof the few central figures of the twentieth centurymathematics who reshaped the mathematical world.Today stochastic calculus is a central research fieldwith applications in several other mathematical dis-ciplines, for example physics, engineering, biology,economics and finance. The Abel Symposium 2005was organized as a tribute to the work of Kiyosi Itoon the occasion of his 90th birthday. Distinguishedresearchers from all over the world were invitedto present the newest developments within the ex-citing and fast growing field of stochastic analysis.The present volume combines both papers fromthe invited speakers and contributions by the pre-senting lecturers. A special feature is the Memoirsthat Kiyoshi Ito wrote for this occasion. These arevaluable pages for both young and established re-searchers in the field.

Features

High-profile, high quality conference on stochastics

Fields of interest

Probability Theory and Stochastic Processes; Anal-ysis; Statistical Theory and Methods; QuantitativeFinance; Mathematical and Computational Physics;Appl.Mathematics/Computational Methods of Engi-neering

Target groups

Researchers, graduate students in mathematics,statistics and mathematical physics

Type of publication

Contributed volume

Due May 2007

2007. XI, 678 p. (Abel Symposia, Vol. 2) Hardcover

79,95 €

ISBN 978-3-540-70846-9


V. Berinde, North University of Baia Mare, Romania

Iterative Approximation of Fixed

Points

The aim of this monograph is to give a unified in-troductory treatment of the most important itera-tive methods for constructing fixed points of non-linear contractive type mappings. It summarizes themost significant contributions in the area by pre-senting, for each iterative method considered (Pi-card iteration, Krasnoselskij iteration, Mann itera-tion, Ishikawa iteration etc.), some of the most rele-vant, interesting, representative and actual conver-gence theorems. Applications to the solution of non-linear operator equations as well as the appropriateerror analysis of the main iterative methods, are alsopresented. Due to the explosive number of researchpapers on the topic (in the last 15 years only, morethan one thousand articles related to the subject werepublished), it was felt that such a monograph wasimperatively necessary. The volume is useful for au-thors, editors, and reviewers. It introduces concretecriteria for evaluating and judging the plethora ofpublished papers.

Contents

Preface to the First Edition.- Preface to the SecondEdition.- Introduction.- 1.Pre-requisites of fixedpoints.- 2.The Picard iteration.- 3.The Krasnoselskijiteration.- 4.The Mann iteration.- 5.The Ishikawa it-eration.- 6.Other fixed point iteration procedures.-7.Stability of fixed point iteration procedures.- 8.Iter-ative solution of nonlinear operator equations.- 9.Er-ror analysis of fixed point iteration procedures.- Ref-erences.- List of symbols.- Authors Index.- SubjectIndex.

Fields of interest

Operator Theory; Numerical Analysis; Topology

Target groups

Researchers and graduate students

Type of publication

Monograph

Due May 2007

Originally published by Editura Efemeride, Baia Mare, Romania,

2002

2007. XV, 322 p. (Lecture Notes in Mathematics, Vol. 1912) Soft-

cover

49,95 €

ISBN 978-3-540-72233-5

D.R. Bes, Centro Atomico Constitutyentes, San Martin, Argentina

Quantum Mechanics

A Modern and Concise Introductory Course

Starting from basic principles, the book systematical-ly covers both Heisenberg and Schrödinger realiza-tions of quantum mechanics (in this order). The ma-terial traditionally presented in quantum textbooksis illustrated with applications which are (or will be-come) cornerstones of future technologies. The em-phasis in the matrix formulation focus the attentionon the spin, the most important quantum observ-able, and paves the way to chapters on quantum in-formation (including crytography, teleportation andcomputation), on recent tests of quantum physicsand on decoherence. Additions and changes found inthe second edition include; a more friendly presen-tation to Hilbert spaces; more practical applicationse.g. scanning tunneling microscope (potential barri-er); quantum dots (single-particle states in semicon-ductors); lasers and masers (induced emission); realexperiments that have recently provided a qualitativechange in the foundations of quantum physics; andan outline of the density matrix formalism [..]

Features

Excellent didactic introduction to the essential prin-ciples Treats recent concepts such as entanglementand decoherence Gives background needed to un-derstand quantum cryptography, teleportation andcomputation Especially suitable for introducing thespin Comment by Prof. J. Roederer: "I am very im-pressed with Dr. Bes' approach to the subject, theclarity of his exposition, and the timeliness of the ex-amples, [..]

Contents

1. Introduction.- 2. Principles of Quantum Mechan-ics.- 3. The Heisenberg Realization of Quantum Me-chanics.- 4. The Schroedinger Realization of Quan-tum Mechanics.- 5. Angular Momenta.- 6. Three-Di-mensional Hamiltonian Problems.- 7. Many-BodyProblems.- 8. Approximate Solutions to QuantumProblems.- 9. Time-Dependence in Quantum Me-chanics.- 10. Entanglement and Quantum Informa-tion.- 11. Experimental Tests of Quantum Mechan-ics.- 12. Measurements and Alternative Interpreta-tions of Quantum Mechanics. Decoherence.- 13. ABrief History of Quantum Mechanics.- 14. Solutionsto Problems and [..]

Fields of interest

Quantum Physics; Mathematical and ComputationalPhysics

Target groups

Undergraduates and first year graduate students, sci-entists

Type of publication


Due April 2007

Originally published in the series " Advanced Texts in Physics"

2007. XX, 240 p. 57 illus. Softcover

44,95 €

ISBN 978-3-540-46215-6


G. Besançon, GIPSA-lab, Saint-Martin d'Heres, France (Ed.)

Nonlinear Observers and

Applications

The problem of state reconstruction in dynamicalsystems, known as observer problem, is undoubt-edly crucial for controlling or just monitoring pro-cesses. For linear systems, the corresponding theo-ry has been quite well established for several yearsnow, and the purpose of the present book is to pro-pose an overview on possible tools in that respectfor nonlinear systems. Basic observability notionsand observer structures are first recalled, togetherwith ingredients for advanced designs on this basis.A special attention is then paid to the well-knownhigh gain techniques with a summary of various cor-responding recent results. A focus on the celebratedExtended Kalman filter is also given, in the perspec-tives of both nonlinear filtering and high gain ob-servers, leading to so-called adaptive-gain observers.The more specific immersion approach for observerdesign is then emphasized, while optimization-basedmethods are also presented as an alternative to ana-lytic observers. Various practical [..]

Features

Presents recent results in nonlinear observers andapplications

Contents

An overview on observer tools for nonlinear sys-tems.- On high gain observer design.- Immer-sion-based observer design.- Observers with adaptivegains and applications.- Nonlinear Moving HorizonObservers: Theory and Real-Time Implementation.-Asymptotic analysis and observer design in the theo-ry of output regulation.- Parameter/fault estimationin nonlinear systems and adaptive observers.

Fields of interest

Control Engineering; Systems Theory, Control; Non-linear Dynamics, Complex Systems, Chaos, NeuralNetworks

Target groups

Engineers, researchers and students in control, sen-sor and measurement technology, complexity

Type of publication

Monograph

Due August 2007

2007. XII, 224 p. Also available online. (Lecture Notes in Control


79,95 €

ISBN 978-3-540-73502-1

H.R. Beyer, Louisiana State University, Baton Rouge,LA,USA

Beyond Partial Differential

Equations

On Linear and Quasi-Linear Abstract Hyperbolic Evolution

Equations

The present volume is self-contained and introducesto the treatment of linear and nonlinear (quasi-lin-ear) abstract evolution equations by methods fromthe theory of strongly continuous semigroups. Thetheoretical part is accessible to graduate studentswith basic knowledge in functional analysis. Onlysome examples require more specialized knowledgefrom the spectral theory of linear, self-adjoint oper-ators in Hilbert spaces. Particular stress is on equa-tions of the hyperbolic type since considerably lessoften treated in the literature. Also, evolution equa-tions from fundamental physics need to be compat-ible with the theory of special relativity and there-fore are of hyperbolic type. Throughout, detailed ap-plications are given to hyperbolic partial differentialequations occurring in problems of current theoret-ical physics, in particular to Hermitian hyperbolicsystems. This volume is thus also of interest to read-ers from theoretical physics.

Contents

Preface- 1.Conventions.- 2.MathematicalIntroduction.-3.Prerequisites.- 4.Strongly Con-tinuous Semigroups.- 5.Examples of Generatorsof Strongly Continuous Semigroups.- 6.Inter-twining Relations, Operator Homomorphisms.-7.Examples of Constrained Systems.- 8.Kernels,Chains, and Evolution Operators.- 9.The LinearEvolution Equation.-10 Examples of Linear Evo-lution Equations.-11.The Quasi-Linear EvolutionEquation.-12.Examples of Quasi-Linear EvolutionEquations.- 13.Appendix.- References.- Index of No-tation.- Index of Terminology.

Fields of interest

Operator Theory; Partial Differential Equations

Target groups

Researchers and graduate students of mathematicsand theoretical physics

Type of publication

Monograph

Due April 2007

2007. XIV, 283 p. Also available online. (Lecture Notes in Mathe-

matics, Vol. 1898) Softcover

39,95 €

ISBN 978-3-540-71128-5

J.-Y. Beziau, University of Neuchâtel, Switzerland (Ed.)

Logica Universalis

Towards a General Theory of Logic

Universal Logic is not a new logic, but a general the-ory of logics, considered as mathematical structures.The name was introduced about ten years ago, butthe subject is as old as the beginning of modern log-ic: Alfred Tarski and other Polish logicians such asAdolf Lindenbaum developed a general theory oflogics at the end of the 1920s based on consequenceoperations and logical matrices. The subject was re-vived after the flowering of thousands of new log-ics during the last thirty years: there was a need for asystematic theory of logics to put some order in thischaotic multiplicity. This book contains recent workson universal logic by first-class researchers from allaround the world. The book is full of new and chal-lenging ideas that will guide the future of this excit-ing subject. It will be of interest for people who wantto better understand what logic is. Tools and con-cepts are provided here for those who want to studyclasses of already existing logics or want to designand build new ones.

Features

Second, revised edition of the first collection of arti-cles around the topic of universal logic Starting pointof interdisciplinary research in the fields of, e.g., log-ic, linguistic, philosophy, mathematics, computerscience

Contents

Preface.- Universal Logic: Frameworks and Struc-tures.- Identity and Nature of Logical Structures.-Tools and Concepts for Universal Logic.

Fields of interest

Mathematical Logic and Foundations; MathematicalLogic and Formal Languages; Arithmetic and LogicStructures

Target groups

Graduates, postgraduates and researchers, computerscientists, mathematicians, philosophers, linguists

Type of publication

Proceedings

Due April 2007

2007. 246 p. Softcover

49,90 €

ISBN 978-3-7643-8353-4


R. Bhattacharya, University of Arizona, Tucson, AZ, USA; E.C.

Waymire, Oregon State University, Corvallis, OR, USA

A Basic Course in Probability Theory

Introductory Probability is a pleasure to read andprovides a fine answer to the question: How do youconstruct Brownian motion from scratch, given thatyou are a competent analyst? There are at least twoways to develop probability theory. The more famil-iar path is to treat it as its own discipline, and workfrom intuitive examples such as coin flips and co-nundrums such as the Monty Hall problem. An al-ternative is to first develop measure theory and anal-ysis, and then add interpretation. Bhattacharya andWaymire take the second path. To illustrate the au-thors' frame of reference, consider the two defini-tions they give of conditional expectation. The firstis as a projection of L2 spaces. The authors rely onthe reader to be familiar with Hilbert space operatorsand at a glance, the connection to probability maynot be not apparent. Subsequently, there is a discuss-sion of Bayes's rule and other relevant probabilisticconcepts that lead to a definition of conditional ex-pectation as an adjustment of [..]

Features

Quicker paced introduction to the basics allows fora more in-depth treatment of such topics as conver-gence theory and Brownian motion Self-containedand suitable for students with varying levels of back-ground in analysis and measure theory Includes acomplete overview of basic measure theory and anal-ysis (with proofs) Written in a lively and engagingstyle Contains an extensive bibliography

Contents

Random Maps, Distribution, and Mathematical Ex-pectation.- Independence, Conditional Expecta-tion.- Martingales and Stopping Times.- ClassicalZero-One Laws, Laws of Large Numbers and LargeDeviations.- Weak Convergence of Probability Mea-sures.- Fourier Series, Fourier Transform, and Char-acteristic Functions.- Classical Central Limit The-orems.- Laplace Transforms and Tauberian Theo-rem.- Random Series of Independent Summands.-Kolmogorov's Extension Theorem and Browni-an Motion.- Brownian Motion: The LIL and SomeFine-Scale Properties.- Skorokhod Embedding andDonsker's Invariance [..]

Fields of interest

Probability Theory and Stochastic Processes; Mea-sure and Integration; Analysis

Target groups

Advanced undergrads and graduate students, ana-lysts

Type of publication


Due August 2007

2007. XII, 210 p. (Universitext) Softcover

39,95 €

ISBN 978-0-387-71938-2

L.G. Birta, University of Ottawa, ON, Canada; G. Arbez, University

of Ottawa, ON, Canada

Modelling and Simulation

Exploring Dynamic System Behaviour

This book provides the reader with a balanced& integrated presentation of the modelling& simulation activity for both Discrete EventDynamic Systems (DEDS) & Continuous TimeDynamic Systems (CTDS). Unconstrained by disci-pline boundaries, this book presents the fundamen-tals necessary to understand the many importantfacets of the modeling & simulation methodolo-gy. For example, a novel project-oriented approachclearly reveals the dependency of model structure& granularity on project goals. Written for stu-dents taking a first course in modelling & sim-ulation at either the senior undergraduate & ju-nior graduate levels, this interdisciplinary presenta-tion provides an essential foundation on the topic.It is also ideally suited for self-study by profession-als & others who require insight into the fea-tures & potential of this rapidly evolving prob-lem solving paradigm.

Features

Only textbook to give a balanced and integratedpresentation of modelling and simulation activityfor both Discrete Event Dynamic Systems (DEDS)and Continuous Time Dynamic Systems (CTDS) Aproject-oriented approach for developing the mod-elling and simulation methodology Novel and con-temporary approach to the stages of a modelling andsimulation project Comprehensive coverage of veri-fication and [..]

Contents

Fundamentals.- Introduction.- The Modelling andSimulation Process.- DEDS Modelling and Simula-tion.- DEDS Stochastic Behaviour and Data Mod-elling.- A Conceptual Modelling Framework forDEDS.- DEDS simulation Model Development.- Ex-perimentation and Output Analysis.- CTDS Mod-elling and Simulation.- Modelling of ContinuousTime Dynamic Systems.- Simulation with CTDSModels.- Optimization.- A1 Probability Primer.- A2GPSS Primer.- A3 Open Desire Primer.

Fields of interest

Simulation and Modeling; Computer Graphics;Appl.Mathematics/Computational Methods of En-gineering; Computational Science and Engineering;Economics general

Target groups

Advanced undergraduates and graduates, lecturers

Type of publication


Due September 2007


59,95 €

ISBN 978-1-84628-621-6

T. Biyikoglu, Isik University, Istanbul,Turkey; J. Leydold, Vienna

University of Economics and Business Administration, Wien, Aus-

tria; P.F. Stadler, University of Leipzig, Germany

Laplacian Eigenvectors of Graphs

Perron-Frobenius and Faber-Krahn Type Theorems

Eigenvectors of graph Laplacians have not, to date,been the subject of expository articles and thus theymay seem a surprising topic for a book. The authorspropose two motivations for this new LNM volume:(1) There are fascinating subtle differences betweenthe properties of solutions of Schrödinger equationson manifolds on the one hand, and their discreteanalogs on graphs. (2) “Geometric” properties of(cost) functions defined on the vertex sets of graphsare of practical interest for heuristic optimization al-gorithms. The observation that the cost functionsof quite a few of the well-studied combinatorial op-timization problems are eigenvectors of associatedgraph Laplacians has prompted the investigationof such eigenvectors. The volume investigates thestructure of eigenvectors and looks at the numberof their sign graphs (“nodal domains”), Perron com-ponents, graphs with extremal properties with re-spect to eigenvectors. The Rayleigh quotient and re-arrangement of graphs form the main methodology.

Contents

1.Introduction.- 2.Graph Laplacians.- 3.Eigenfunc-tions and Nodal Domains.- 4.Nodal Domain Theo-rems for Special Graph Classes.- 5.ComputationalExperiments.- 6.Faber-Krahn Type Inequalities.- Ap-pendices: A.Basic Notations.- B.Eigenfunctions Usedin Figures.- C.List of Symbols.- References.- Index.

Fields of interest

Combinatorics; Linear and Multilinear Algebras,Matrix Theory

Target groups


Type of publication

Monograph

Due July 2007

2007. VIII, 120 p. Also available online. (Lecture Notes in Mathe-


29,95 €

ISBN 978-3-540-73509-0


N. Boccara, University of Illinois, Chicago, IL, USA

Essentials of Mathematica

With Applications to Mathematics and Physics

Essential Mathematica: With Applications to Math-ematics and Physics, based on the lecture notes of acourse taught at the University of Illinois at Chicagoto advanced undergrad and graduate students, teach-es how to use Mathematica to solve a wide varietyproblems in mathematics and physics. It is illustratedwith many detailed examples that require the studentto construct meticulous, step-by-step, easy to readMathematica programs. The first section, in whichthe reader learns how to use a variety of Mathemat-ica commands, avoids long discussions and overlysophisticated techniques. Its aim is to provide thereader with Mathematica proficiency quickly and ef-ficiently. The second section covers a broad rangeof applications in physics, engineering and appliedmathematics, including Egyptian Fractions, HappyNumbers, Mersenne Numbers, Multibases, Quan-tum Harmonic Oscillator, Quantum Square Poten-tial, Van der Pol Oscillator, Electrostatics, Motion ofa Charged Particle in an Electromagnetic Field, [..]

Features

Aims to provide the reader with Mathematica profi-ciency quickly and efficiently, using many detailedexamples of constructing programs step-by-step Al-though there are several books on this topic in pub-lication, this book does not assume a previous ex-posure of the reader to the mathematica softwareShows that teaching mathematics and physics willgreatly benefit from the use of Mathematica The CD-ROM included [..]

Contents

Panorama of Mathematica.- Manipulating Num-bers.- Algebra.- Analysis.- Lists.- Graphics.- Proba-bilty and Statistics.- Programming.- Egyptian Frac-tions.- Happy Numbers.- Mersenne Numbers.-Multibases.- Quantum Harmonic Oscillator.- Quan-tum Square Potential.- Van der Pol Oscillator.- Elec-trostatics.- Motion of a Charged Particle in an Elec-tromagnetic Field.- Duffing Oscillator.- Negativeand Complex Bases.- Tautochrone Curves.- Kepler’sLaws.- Foucault’s Pendulum.- Iterated Function Sys-tems.- Public-Key Encryption.- Julia and MandelbrotSets.

Fields of interest

Mathematical Methods in Physics; Mathematical andComputational Physics; Numerical and Computa-tional Methods; Mathematical Software; Mathemat-ics of Computing; Numerical and ComputationalMethods in Engineering

Target groups

Advanced undergraduate students, graduate studentsand instructors in Physics, Mathematics, Computa-tional Science and Engineering

Type of publication


Due May 2007

2007. XXX, 539 p. With CD-ROM. Hardcover

46,95 €

ISBN 978-0-387-49513-2

V. Boju, MontrealTech, Institute de Technologie de Montreal, QC,

Canada; L. Funar, CNRS, Université de Grenoble I, France

The Math Problems Notebook

The Math Problems Notebook is a collection of non-trivial, unconventional problems requiring deep in-sight and imagination reminiscent of those discussedat Sunday Math Circles. These circles have becomea place for disseminating beautiful mathematics atan elementary level for college students who havea common passion for mathematics. The problemscover many topics, including number theory, alge-bra, combinatorics, geometry and analysis, of vary-ing levels of difficulty. The presentation of each topicbegins with simple exercises and follows with moredifficult problems, challenging enough even for theexperienced problem solver. The easier problemsfocus on basic methods and tools, while the moreadvanced problems develop problem-solving tech-niques, intuition and promote further research. Un-dergraduates and teachers of advanced mathematics,as well as the casual mathematician will mutually en-joy The Math Problems Notebook.

Features

Provides students with practice problems for top-ics such as number theory, algebra and combina-torics, geometry and analysis Includes solutions foreach problem. Open-ended problems are followedby comments and recommended reading to promotefurther research Contains a glossary of mathematicalterms and the more obscure definitions and identi-ties

Contents

Preface.- I. Problems.- Number Theory.- Algebraand Combinatorics.- Geometry.- Analysis.- II. So-lutions and Comments to the Problems.- NumberTheory Solutions.- lgebra and Combinatorics Solu-tions.- Geometry Solutions.- Analysis Solutions.-Glossary.- Index.

Fields of interest

Mathematics, general; Combinatorics; Algebra; Ge-ometry; Analysis

Target groups

Undergraduates, teachers of advanced mathematics,and the casual mathematician

Type of publication

Undergraduate textbook

Due September 2007

2007. XII, 236 p. 21 illus. Softcover

34,90 €

ISBN 978-0-8176-4546-5

C. Bonivento, University of Bologna, Italy; A. Isidori, University of

Rome La Sapienza, Rome, Italy; L. Marconi, University of Bologna,

Italy; C. Rossi, University of Bologna, Italy (Eds.)

Advances in Control Theory and

Applications

Features

Recent results in control Outcome of the first CASYworkshop on "Advances in Control Theory andApplications" which has been held at University ofBologna on May 22-26, 2006 consisting of selectedcontributions by some of the invited speakers

Contents

Modeling and Control of Autonomous Helicopters.-Efficient Quantization in the Average ConsensusProblem.- Human-Robot Interaction Control Us-ing Force and Vision.- A Dissipation Inequality forthe Minimum Phase Property of Nonlinear Con-trol Systems.- Input Disturbance Suppression forPort-Hamiltonian Systems: an Internal Model Ap-proach.- A Systems Theory View of Petri Nets.-Wireless Sensing with Power Constraints.- The Im-portant State Coordinates of a Nonlinear System.-On Decentralized and Distributed Control of Par-tially-Observed Discrete Event Systems.- A UnifyingApproach to the [..]

Fields of interest


Target groups

Engineers, researchers, and students in control engi-neering

Type of publication

Monograph

Due March 2007

2007. X, 305 p. Also available online. (Lecture Notes in Control


99,95 €

ISBN 978-3-540-70700-4


K. Boulabiar, University Tunis Carthage, Tunisia; G. Buskes, Uni-

versity of Mississippi, Oxford, MS, USA; A. Triki, University of Tu-

nis, Tunisia (Eds.)

Positivity

This book contains nine well-organized survey arti-cles by leading researchers in positivity, with a strongemphasis on functional analysis. It provides insightinto the structure of classical spaces of continuousfunctions, f-algebras, and integral operators, but al-so contains contributions to modern topics like vec-tor measures, operator spaces, ordered tensor prod-ucts, non-commutative Banach function spaces, andframes. Contributors: B. Banerjee, D.P. Blecher, K.Boulabiar, Q. Bu, G. Buskes, G.P. Curbera, M. Hen-riksen, A.G. Kusraev, J. Martínez, B. de Pagter,W.J. Ricker, A.R. Schep, A. Triki, A.W. Wickstead

Features

Brings together for the first time a wide variety of di-rections of research in positivity Provides up-to-dateinformation on topics of current interest in positivity

Contents

Preface.- 9 Survey articles.

Fields of interest

Analysis; Order, Lattices, Ordered Algebraic Struc-tures; Functional Analysis; Operator Theory; Mani-folds and Cell Complexes (incl. Diff.Topology); Eco-nomics general

Target groups

Postgraduates and researchers in functional analysis,topology, operator algebras, lattice-ordered groupsand frames

Type of publication


Due September 2007

2007. 279 p. (Trends in Mathematics) Hardcover

99,00 €

ISBN 978-3-7643-8477-7

A. Bressan, Penn State University, PA, USA; D. Serre, Ecole Nor-

male Supérieure de Lyon, France; M. Williams, University of North

Carolina, NC, USA; K. Zumbrun, Indiana University, Bloomington,

IN, USA; P. Marcati, University of L'Aquila, Italy (Ed.)

Hyperbolic Systems of Balance Laws

Lectures given at the C.I.M.E. Summer School held in Cetraro,

Italy, July 14-21, 2003

The present Cime volume includes 4 lecture cours-es by Bressan, Serre, Zumbrun and Williams and aTutorial by Bressan on the Center Manifold Theo-rem. Bressan’s notes start with an extensive reviewof hyperbolic conservation laws. Then he introducesthe vanishing viscosity approach and explains clear-ly the building blocks of the theory in particular thecrucial role of the decomposition by travelling waves.Serre focuses on existence and stability for discreteshock profiles, he reviews the existence both in therational and in the irrational cases and gives a con-cise introduction to the use of spectral methods forstability analysis. Finally the lectures by Williams andZumbrun deal with the stability of multidimension-al fronts. Williams’ lectures describe the stability ofmultidimensional viscous shocks. Zumbrun discuss-es planar stability for viscous shocks with a realisticphysical viscosity, and necessary and sufficient con-ditions for nonlinear stability.

Contents

P. Marcati: Preface.- A. Bressan: BV Solutions to Hy-perbolic Systems by Vanishing Viscosity.- D. Serre:Discrete Shock Profiles: Existence and Stability.-M. Williams: Stability of Multidimensional ViscousShocks.- K. Zumbrun: Planar Stability Criteria forViscous Shock Waves of Systems with Real Viscosi-ty.- A. Bressan: Tutorial on Center Manifold Theo-rem.

Fields of interest

Partial Differential Equations; Mechanics, Fluids,Thermodynamics; Numerical Analysis

Target groups


Type of publication


Due June 2007

2007. XII, 346 p. (Fondazione C.I.M.E., Firenze, Vol. 1911) Softcov-

er

49,95 €

ISBN 978-3-540-72186-4

M. Brešar, University of Maribor, Slovenia; M.A. Chebotar, Kent

State University, USA; W.S. Martindale III, University of Mas-

sachusetts, Amherst, MA, USA

Functional Identities

The theory of functional identities (FIs) is a relative-ly new one - the first results were published at thebeginning of the 1990s, and this is the first book onthis subject. An FI can be informally described as anidentical relation involving arbitrary elements in anassociative ring together with arbitrary (unknown)functions. The goal of the general FI theory is to de-scribe these functions, or, when this is not possible,to describe the structure of the ring admitting the FIin question. This abstract theory has turned out to bea powerful tool for solving a variety of problems inring theory, Lie algebras, Jordan algebras, linear al-gebra, and operator theory. The book is divided intothree parts. Part I is an introductory one. PartII is the core of the book. It gives a full account of thegeneral FI theory, which is based on the concept ofa d-free set; various constructions and concrete ex-amples of d-free sets are given, and FI’s on d-free setsare thoroughly studied. Part III deals [..]

Features

First monograph devoted to functional identities andaccessible to a wider audience Touching a variety ofmathematical areas such as ring theory, algebra andoperator theory

Contents

Part I. An Introductory Course - What is a function-al identity?- Strong degree and FI-degree.- Part II.The General Theory- Constructing d-free sets- FIson d-free sets- FIs in (semi-) prime rings.- Part III.Applications - Lie maps and related topics- LinearPreserver Problems- Further Applications to Lie Al-gebras- Appendices- Bibliography.

Fields of interest

Algebra; Associative Rings and Algebras; FunctionalAnalysis

Target groups

Postgraduates and researchers in Ring Theory andFunctional Analysis

Type of publication

Monograph

Due June 2007

2007. 272 p. (Frontiers in Mathematics) Softcover

39,90 €

ISBN 978-3-7643-7795-3


I.N. Bronshtein, K.A. Semendyayev, G. Musiol, Dresden, Germany;

H. Muehlig, Dresden, Germany

Handbook of Mathematics

This guide book to mathematics contains in hand-book form the fundamental working knowledge ofmathematics which is needed as an everyday guidefor working scientists and engineers, as well as forstudents. Easy to understand, and convenient touse, this guide book gives concisely the informationnecessary to evaluate most problems which occurin concrete applications. In the newer editions em-phasis was laid on those fields of mathematics thatbecame more important for the formulation andmodeling of technical and natural processes, name-ly Numerical Mathematics, Probability Theory andStatistics, as well as Information Processing. For the5th edition, the chapters “Computer Algebra Sys-tems” and “Dynamical Systems and Chaos” werefundamentally revised, updated and expanded. In thechapter “Algebra and Discrete Mathematics” a sec-tion on “Finite Fields and Shift Registers” was added.

Features

Reference book providing rapid access to formulae,data, and concepts of applied mathematics Famousand classic reference book for engineers, physicists,and applied mathematicians worldwide

Contents

Arithmetic.- Functions.- Geometry.- Linear Alge-bra.- Algebra and Discrete Mathematics.- Differenti-ation.- Infinite Series.- Integral Calculus.- Differen-tial Equations.- Calculus of Variations.- Linear Inte-gral Equations.- Functional Analysis.- Vector Analy-sis and Vector Fields.- Functional Theory.- IntegralTransformations.- Probability Theory and Mathe-matical Statistics.- Dynamical Systems and Chaos.-Optimization.- Numerical Analysis.- Computer Al-gebra Systems.- Tables.

Fields of interest

Appl.Mathematics/Computational Methods of Engi-neering; Mathematical and Computational Physics;Analysis

Target groups

Students, researchers and professionals in engineer-ing, physics and computer science

Type of publication

Reference work

Due August 2007

Based on the 6th German edition "Taschenbuch der Mathe-

matik", published by Wissenschaftlicher Verlag Harri Deutsch,

Frankfurt/M., 2005

2007. XLII, 1157 p. 745 illus., 142 tabs. Softcover

59,95 €

ISBN 978-3-540-72121-5

F. Bullo, University of California at Santa Barbara, CA, USA; K. Fuji-

moto, Nagoya University, Japan (Eds.)

Lagrangian and Hamiltonian

Methods For Nonlinear Control

2006

Proceedings from the 3rd IFAC Workshop, Nagoya, Japan, July

2006

Features

Recent results in nonlinear control Outcome of the3rd IFAC Workshop on Lagrangian and Hamiltoni-an Methods for Nonlinear Control (LHMNLC’06),July 19-21, Nagoya, Japan

Contents

From the contents A Differential-Geometric Ap-proach for Bernstein’s Degrees-of-Freedom Prob-lem.- Nonsmooth Riemannian Optimization withApplications to Sphere Packing and Grasping.- Syn-chronization of Networked Lagrangian Systems.-An Algorithm to Discretize One-Dimensional Dis-tributed Port Hamiltonian Systems.- Virtual La-grangian Construction Method for Infinitedimen-sional Systems with Homotopy Operators.- DirectDiscrete-Time Design for Sampled-Data Hamiltoni-an Control Systems.- Kinematic Compensation inPort-Hamiltonian Telemanipulation.- Interconnec-tion and Damping Assignment [..]

Fields of interest


Target groups


Type of publication

Monograph

Due August 2007

2007. XV, 398 p. (Lecture Notes in Control and Information Sci-

ences, Vol. 366) Softcover

99,95 €

ISBN 978-3-540-73889-3

E.B. Burger, Williams College, Williamstown, MA, USA

Extending the Frontiers of

Mathematics

Inquiries into proof and argumentation

In the real world of research mathematics, math-ematicians do not know in advance if their asser-tions are true or false. Extending the Frontiers ofMathematics: Inquiries into proof and argumenta-tion requires students to develop a mature processthat will serve them throughout their professionalcareers, either inside or outside of mathematics. Itsinquiry-based approach to the foundations of math-ematics promotes exploring proofs and other ad-vanced mathematical ideas through these features: -Puzzles and patterns introduce the pedagogy. Theseprecursors to proofs generate creativity and imag-ination that the author builds on later - Prove andextend or disprove and salvage, a consistent formatof the text, provides a framework for approachingproblems and creating mathematical proofs - Math-ematical challenges are presented which build uponeach other, motivate analytical skills, and foster in-teresting discussion

Features

The short length gives it flexibility; it can be usedas either a core text or a supplementary text Its in-quiry-based, investigative in nature leads but doesn’tshow The text features puzzles and patterns situatedat the beginning as precursors to proofs The "proveand extend or disprove and salvage” instruction isrepeated, thus providing a consistent framework forapproaching the problems Edward B. Burger’s [..]

Contents

Introduction: A brief travel guide to the journeyahead.- 1. Puzzles and patterns: A precursor toproofs.-2. Bringing theorems to justice: Exposing thetruth through rigorous proof.- 3. Delving into thedependable digits: Counting on counting numbers.-4. Going around in circles: The art of modular arith-metic.- 5. The irrational side of numbers: A worldof nonrepeating digits.- 6. Discovering how to func-tion in mathematics: Moving beyond ordinary rela-tions.- 7. Infinity: Understanding the unending.- 8.Recursively defined functions: The next generation.-9. Discrete thoughts of [..]

Fields of interest

Mathematical Logic and Foundations; DiscreteMathematics in Computer Science

Target groups

Undergraduate mathematics professors who teachintroduction to logic and proofs

Type of publication


Due July 2007

2007. XVI, 171 p. Softcover

39,95 €

ISBN 978-1-59757-042-8


X. Cai, The Chinese University of Hong Kong, China; D. Sha,

Shanghai Institute of Foreign Trade, Shanghai, China; C.K. Wong,

The Chinese University of Hong Kong, China

Time-Varying Network

Optimization

The express purpose of Time-Varying Network Op-timization is to describe, in a unified and self-con-tained manner, a series of models, propositions, andalgorithms developed in recent years on time-vary-ing networks. References and discussions on rele-vant problems and studies that have appeared in theliterature are integrated in the book. The book con-sists of eight chapters, in which the following prob-lems are formulated and examined: (1) the short-est path problem, (2) minimum-spanning tree prob-lem, (3) maximum flow problem, (4) minimum costflow problem, (5) maximum capacity path problem,(6) quickest path problem, (7) multi-criteria prob-lem, and (8) the generalized flow problem. The time-varying traveling salesman problem and the Chinesepostman problem are presented in a chapter togeth-er with the time-varying generalized problem. Whilethese topics will be described all within the frame-work of time-varying networks, our plan is to makeeach chapter relatively self-contained so that eachcan be [..]

Features

Addresses two types of needs in the research of net-work optimization: 1) to present the latest researchefforts and findings on time-varying network opti-mization; and 2) to examine key models and resultson dynamic network optimization problems thatcan be used by academics, practitioners, and gradu-ate students or senior-year undergraduate studentsThere is a great need to seek optimal solutions onthese types [..]

Contents

Preface.- Time-varying shortest path problems.-Time-varying minimum spanning tree.- Time-vary-ing universal maximum flow problems.- Time-vary-ing minimum cost flow problems.- Time-varyingmaximum capacity path problem.- The quickest pathproblem.- Finding the best path with multi-criteria.-Generalized flows and other network problems.- In-dex.- References.

Fields of interest

Operation Research/Decision Theory; Optimization;Operations Research, Mathematical Programming;Information Systems and Communication Service;Information Systems Applications (incl.Internet);Production/Logistics

Target groups

Academic researchers and students

Type of publication


Due May 2007

2007. XVI, 223 p. (International Series in Operations Research &

Management Science, Vol. 103) Hardcover

74,95 €

ISBN 978-0-387-71214-7

X. Cai, University of Shanghai for Science and Technology,

Shanghai, China; Y. Wu, Chinese Academy of Sciences, China; Z.

Huang, Zhejiang University, China; S. Wang, Southeast Universi-

ty, China; M. Wang, Leeds University, UK (Eds.)

Multiphase Flow: The Ultimate

Measurement Challenge

Proceedings of the 5th International Symposium on Measure-

ment Techniques for Multiphase Flows and 2nd International

Workshop on Process Tomography

All papers have been peer reviewed. Multiphase flowis of importance to the design, research and oper-ation for apparatuses of many industries, such aspower engineering, chemical industry, nuclear ener-gy industry, refrigeratory industry, petroleum indus-try, metallurgical industry, space industry and envi-ronmental engineering industry, etc. On account ofthe complication of multiphase flows, their measure-ments are much more different than that for singlephase flows. Up to now, although measurement tech-niques for multiphase flows have obtained sufficientprogress and some new techniques including pro-cess tomography have been developed, the accuracyand applied convenience of measurements are stillneeded to be raised. This symposium covers a widescope of multiphase measurements including mea-surements. Advanced methods and recent research-ing developments in these fields are submitted foracademic communication and discussion.

Fields of interest

Measurement Science, Instrumentation; Mathemati-cal Methods in Physics; Physics and Applied Physicsin Engineering; Polymer Sciences

Target groups

Professors, researchers, and students in universi-ties and research institutes, as well as technicians inR&D in many industries

Type of publication

Proceedings

Due July 2007

2007. Approx. 948 p. (AIP Conference Proceedings, Vol. 914)

Hardcover

204,05 €

ISBN 978-0-7354-0422-9

M. Calder, University of Glasgow, UK; S. Gilmore, The University

of Edinburgh, UK (Eds.)

Computational Methods in Systems

Biology

International Conference CMSB 2007, Edinburgh, Scotland,

September 20-21, 2007, Proceedings

This book constitutes the refereed proceedings of theInternational Conference on Computational Meth-ods in Systems Biology, CMSB 2007, held in Edin-burgh, Scotland, September 20-21, 2007. The 16 re-vised full papers presented were carefully reviewedand selected. The papers present a variety of tech-niques from computer science, such as language de-sign, concurrency theory, software engineering, andformal methods, for biologists, physicists, and math-ematicians interested in the systems-level under-standing of cellular processes.

Fields of interest

Simulation and Modeling; Bioinformatics; Com-puter Appl. in Life Sciences; Software Engineering;Database Management; Computation by AbstractDevices

Target groups


Type of publication

Proceedings

Due September 2007

2007. X, 249 p. (Lecture Notes in Computer Science, Vol. 4695)

Softcover

45,00 €

ISBN 978-3-540-75139-7


C.G. Canuto, Politecnico di Torino, Italy; M.Y. Hussaini, Florida

State University, Tallahassee, FL, USA; A. Quarteroni, EPFL, Lau-

sanne, Switzerland and Politecnico di Milano, Italy; T.A. Zang,

NASA Langley Research Center, Hampton, VA, USA

Spectral Methods

Evolution to Complex Geometries and Applications to Fluid

Dynamics

Spectral methods, particularly in their multidomainversion, have become firmly established as a main-stream tool for scientific and engineering computa-tion. While retaining the tight integration betweenthe theoretical and practical aspects of spectral meth-ods that was the hallmark of their 1988 book, Canutoet al. now incorporate the many improvements in thealgorithms and the theory of spectral methods thathave been made since then. This second new treat-ment, Evolution to Complex Geometries and Ap-plications to Fluid Dynamics, provides an extensiveoverview of the essential algorithmic and theoreticalaspects of spectral methods for complex geometries,in addition to detailed discussions of spectral algo-rithms for fluid dynamics in simple and complex ge-ometries. Modern strategies for constructing spectralapproximations in complex domains, such as spec-tral elements, mortar elements, and discontinuousGalerkin methods, as well as patching collocation,are introduced, analyzed, and demonstrated by [..]

Features

Most comprehensive and up-to-date theory andstate-of-the-art algorithms of spectral methods forapplication in fluid dynamics and complex domainsAuthors pioneered Spectral Methods in Fluid Dy-namics Calculations Monograph at forefront of re-search but addressing students as well Contains aSpectral Methods Primer. Can thus be read indepen-dently of the companion book "Spectral methods.Fundamentals in Single Domains”

Contents

Fluid Dynamics Fundamentals.- Single-DomainMethods for Stability Analyses.- Single-DomainMethods for Incompressible Flows.- Single-DomainMethods for Compressible Flows.- MultidomainDiscretizations.- Multidomain Solution Strategies.-Incompressible Flows in Complex Domains.- Spec-tral Methods Primer.- Appendices.- References.

Fields of interest

Computational Mathematics and Numerical Analy-sis; Numerical and Computational Methods; Fluids;Engineering Fluid Dynamics; Mathematical Methodsin Physics; Mechanics

Target groups

Students, researchers, mechanical engineers involvedin numerical and scientific computing

Type of publication

Monograph

Due July 2007

2007. XXX, 596 p. 183 illus. (Scientific Computation) Hardcover

79,95 €

ISBN 978-3-540-30727-3

L. Capogna, University of Arkansas, Fayetteville, AR, USA; D.

Danielli, Purdue University, West Lafayette, IN, USA; S.D. Pauls,

Dartmouth College, Hanover, NH, USA; J.T. Tyson, University of

Illinois, Urbana-Champaign, IL, USA

An Introduction to the Heisenberg

Group and the Sub-Riemannian

Isoperimetric Problem

This book provides an introduction to the basics ofsub-Riemannian differential geometry and geomet-ric analysis in the Heisenberg group, focusing pri-marily on the current state of knowledge regardingPierre Pansu's celebrated 1982 conjecture regardingthe sub-Riemannian isoperimetric profile. It presentsa detailed description of Heisenberg submanifold ge-ometry and geometric measure theory, which pro-vides an opportunity to collect for the first time inone location the various known partial results andmethods of attack on Pansu's problem. As such itserves simultaneously as an introduction to the areafor graduate students and beginning researchers, andas a research monograph focused on the isoperimet-ric problem suitable for experts in the area.

Features

Presents a detailed description of Heisenberg sub-manifold geometry and geometric measure theoryCollects for the first time the various known partialresults and methods of attack on Pansu's problem

Contents

Preface.- 1. The Isoperimetric Problem.- 2. TheHeisenberg Group.- 3. Horizontal Geometry of Sub-manifolds.- 4. Geometric Measure Theory.- 5. TheIsoperimetric Inequality.- 6. The Isoperimetric Pro-file of the Heisenberg Group.- 7. Sharp Constants forOther Geometric Inequalities.- Bibliography.- Index.

Fields of interest

Topological Groups, Lie Groups; Differential Ge-ometry; Manifolds and Cell Complexes (incl.Diff.Topology); Partial Differential Equations; Glob-al Analysis and Analysis on Manifolds; Systems The-ory, Control

Target groups

Graduate students and researchers in Analysis, Ge-ometry, and Mathematical Physics

Type of publication

Monograph

Due April 2007

2007. XVI, 223 p. (Progress in Mathematics, Vol. 259) Hardcover

44,90 €

ISBN 978-3-7643-8132-5

I. Cardinali, Università di Siena, Italy; S.E. Payne, University of Col-

orado, Denver, CO, USA

q-Clan Geometries in Characteristic

2

A q-clan with q a power of 2 is equivalent to a cer-tain generalized quadrangle with a family of sub-quadrangles each associated with an oval in the De-sarguesian plane of order 2. It is also equivalentto a flock of a quadratic cone, and hence to a line-spread of 3-dimensional projective space and thusto a translation plane, and more. These geometricobjects are tied together by the so-called Fundamen-tal Theorem of q-Clan Geometry. The bookgives a complete proof of this theorem, fol-lowed by a detailed study of the known examples.The collineation groups of the associated generalizedquadrangles and the stabilizers of their associatedovals are worked out completely.

Features

Offers the only comprehensive, coherent treatmentof the theory (in characteristic 2) of the so-calledflock quadrangles, those generalized quadrangles(GQ) that arise from q-clans, along with their associ-ated ovals Gives a concise but logically complete in-troduction to the basic ideas, but otherwise has onlytrivial intersection with any other book-length treat-ment of GQ Theory of these flock GQ has evolved[..]

Contents

Introduction.- 1. q-Clans and Their Geometries.- 2.The Fundamental Theorem.- 3. Aut(GQ(C)).- 4. TheCyclic q-Clans.- 5. Applications to the Known Cy-clis q-Clans.- 6. The Subiaco Oval Stabilizers.- 7. TheAdelaide Oval Stabilizers.- 8. The Payne q-Clans.- 9.Other Good Stuff.- Bibliography.

Fields of interest

Convex and Discrete Geometry

Target groups

Graduates and researchers in (finite) geometry

Type of publication

Monograph

Due August 2007

2007. XIV, 166 p. (Frontiers in Mathematics) Softcover

39,90 €

ISBN 978-3-7643-8507-1


F. Cardone, Consiglio Nazionale delle Ricerche, Roma, Italy; R.

Mignani, Università "Roma Tre", Roma, Italy

Deformed Spacetime

Geometrizing Interactions in Four and Five Dimensions

This volume provides a detailed discussion of themathematical aspects and the physical applicationsof a new geometrical structure of space-time, basedon a generalization ("deformation") of the usualMinkowski space, as supposed to be endowed witha metric whose coefficients depend on the ener-gy. Such a formalism (Deformed Special Relativity,DSR) allows one to account for breakdown of localLorentz invariance in the usual, special-relativisticmeaning (however, Lorentz invariance is recoveredin a generalized sense); to provide an effective geo-metrical description of the four fundamental inter-actions (electromagnetic, weak, strong and gravita-tional). Moreover, the four-dimensional energy-de-pendent space-time is just a manifestation of a larg-er, five-dimensional space in which energy plays therole of a fifth (non-compactified) dimension. Thisnew five-dimensional scheme (Deformed Relativityin Five Dimensions, DR5) represents a true general-ization of the usual Kaluza-Klein (KK) formalism.

Features

Provides a unique and exhaustive exposition of thetheory of deformed spacetime, developed in the last15 years, both in four and five dimensions Providesa detailed discussion of the mathematical aspects ofthe formalism, including some new, unpublished re-sults Provides a thorough account of the main exper-imental evidences for a possible deformed geometryof spacetime, including experiments in optics, [..]

Contents

From the contents Part I: Physics of DeformedSpace-Time.- Part II: Mathematics of DeformedSpace-Time.- Part III: Experimental Arguments forDeformed Space-Time.- Part IV: Deformed Space-Time in Five Dimensions: Geometry.- Part V: De-formed Space-Time in Five Dimensions: Dynam-ics.- Appendix A: Reductivity of the Y-Hypothe-sis for the 12 Classes of the vacuum Einstein Equa-tions in the Power Ansatz. Appendix B: GravitationalKilling Symmetries for Special Forms of b12(x5) andb22(x5). Appendix C: Explicit and Implicit Forms ofgeodesics for the 12 Classes of Solutions of Einstein's[..]

Fields of interest

Mathematical Methods in Physics; Relativity andCosmology; Physics beyond the Standard Model;Electromagnetism, Optics and Lasers; ElementaryParticles and Nuclei

Target groups

Graduate students and researchers in mathematicsand physics; researchers and engineers working innuclear and space industries, space agencies, govern-ment scientific (including military and defence) in-stitutions

Type of publication

Monograph

Due August 2007

2007. XVII, 505 p (Fundamental Theories of Physics, Vol. 157)

Hardcover

129,95 €

ISBN 978-1-4020-6282-7

E.d. Castillo, The Pennsylvania State University, PA, USA

Process Optimization

A Statistical Approach

PROCESS OPTIMIZATION: A Statistical Approachis a textbook for a course in experimental optimiza-tion techniques for industrial production processesand other "noisy" systems where the main emphasisis process optimization. The book can also be usedas a reference text by Industrial, Quality and ProcessEngineers and Applied Statisticians working in in-dustry, in particular, in semiconductor/electronicsmanufacturing and in biotech manufacturing indus-tries.

Features

A much stronger treatment of the topic than the Wi-ley books published in this area for these reasons: (1)on the strength of the book’s author and (2) on itscoverage and treatment of process optimization Pro-vides in the form of a text a contemporary accountnot only of the classical techniques and tools used inDesign of Experiments (DOE) and Response SurfaceMethods (RSM), but also to present more advanced[..]

Contents

Preface.- An overview of empirical process optimiza-tion.- Optimization based on 1st order polynomialmodels.- Experimental designs for 1st order mod-els.- Analysis and optimization of 2nd order models.-Designs for 2nd order models.- Statistical inferencein 1st order RSM.- Statistical inference in 2nd orderRSM.- The bias vs. variance debate.- Robust param-eter design.- Robust optimization.- Introduction toBayesian inference.- Bayesian methods process op-timization.- Simulation optimization.- Kriging andcomputer experiments.- Appendices.- References.-Index.

Fields of interest

Industrial and Production Engineering; Probabili-ty Theory and Stochastic Processes; Optimization;Quality Control, Reliability, Safety and Risk; Engi-neering Design; Mathematical Modeling and Indus-trial Mathematics

Target groups

Professors and graduate students in Industrial Engi-neering and Statistics

Type of publication


Due August 2007

2007. XVIII, 476 p. 76 illus. (International Series in Operations Re-

search & Management Science, Vol. 105) Hardcover

79,95 €

ISBN 978-0-387-71434-9


R. Cervenka, Whitestein Technologies, Bratislava, Slovakia; I.

Trencansky, Whitestein Technologies, Bratislava, Slovakia

The Agent Modeling Language -

AML

A Comprehensive Approach to Modeling Multi-Agent Systems

Multi-agent systems are already a focus of studies formore than 25 years. Despite substantial effort of anactive research community, modeling of multi-agentsystems still lacks complete and proper definition,general acceptance, and practical application. Dueto the vast potential of these systems e.g., to improvethe practice in software and to extent the applica-tions that can feasibly be tackled, this book tries toprovide a comprehensive modeling language - theAgent Modeling Language (AML) - as an extensionof UML 2.0, concentrating on multi-agent systemsand applications.

Features

Autonomic and autonomous computing is a fastgrowing branch of industry Public availability ofAML Tool for StarUML

Contents

Introduction.- Part I: Background Information.- Sur-vey on Agent-Oriented Modeling Languages.- Re-quirements on a MAS Modeling Language.- PartII: Solution Summary.- The AML Approach.- Con-cepts of AML.- AML Modeling Mechanisms.- Re-lated Work.- Part III: AML Specification.- Exten-sions to Standard UML Notation.- Organization ofthe AML Specification.- Architecture.- Behaviors.-Mental.- Ontologies.- Contexts.- UML Extension forAML.- Diagrams.- Extension of OCL.- Part IV: FinalRemarks.- Conclusions.- Further Work.

Fields of interest

Artificial Intelligence (incl. Robotics); Simulationand Modeling; Programming Languages, Compilers,Interpreters

Target groups

Software engineers, researchers in agent technolo-gies, methodologists, tool developers, and students

Type of publication

Monograph

Due April 2007

2007. XI, 355 p. (Whitestein Series in Software Agent Technolo-

gies and Autonomic Computing) Softcover

39,90 €

ISBN 978-3-7643-8395-4

M. Charikar, Princeton University, NJ, USA; K. Jansen, Univer-

sity of Kiel, Germany; O. Reingold, The Weizmann Institute

of Science, Rehovot, Israel; J.D.P. Rolim, Centre Universitaire

d'Informatique, Geneva, Switzerland (Eds.)

Approximation, Randomization,

and Combinatorial Optimization.

Algorithms and Techniques

10th International Workshop, APPROX 2007, and 11th Inter-

national Workshop, RANDOM 2007, Princeton, NJ, USA, Au-

gust 20-22, 2007, Proceedings

This book constitutes the joint refereed proceedingsof the 10th International Workshop on Approxima-tion Algorithms for Combinatorial OptimizationProblems, APPROX 2007 and the 11th Internation-al Workshop on Randomization and Computation,RANDOM 2007, held in Princeton, NJ, USA, in Au-gust 2007. The 44 revised full papers presented werecarefully reviewed and selected from 99 submissions.Topics of interest covered by the papers are designand analysis of approximation algorithms, hardnessof approximation, small space and data streaming al-gorithms, sub-linear time algorithms, embeddingsand metric space methods, mathematical program-ming methods, coloring and partitioning, cuts andconnectivity, geometric problems, game theory andapplications, network design and routing, packingand covering, scheduling, design and analysis of ran-domized algorithms, randomized complexity theory,pseudorandomness and derandomization, randomcombinatorial structures, random walks/Markovchains, expander graphs and [..]

Fields of interest

Algorithm Analysis and Problem Complexity; Dis-crete Mathematics in Computer Science; NumericComputing

Target groups


Type of publication

Proceedings

Due August 2007

2007. XII, 626 p. Also available online. (Lecture Notes in Comput-


72,00 €

ISBN 978-3-540-74207-4

É. Charpentier, Université Bordeaux 1, Talence, France; A. Lesne,

Université Pierre et Marie Curie, Paris, France; N.K. Nikolski, Uni-

versité Bordeaux 1, Talence, France (Eds.)

Kolmogorov's Heritage in

Mathematics

A.N. Kolmogorov (Tambov 1903, Moscow 1987)was one of the most brilliant mathematicians thatthe world has ever known. Incredibly deep and cre-ative, he was able to approach each subject with acompletely new point of view: in a few magnificentpages, which are models of shrewdness and imagina-tion, and which astounded his contemporaries, hechanged drastically the landscape of the subject. Eachchapter treats one of Kolmogorov's research themes,or a subject that was invented as a consequence ofhis discoveries. The authors present here his con-tributions, his methods, the perspectives he openedto us, the way in which this research has evolved upto now, along with examples of recent applicationsand a presentation of the modern prospects. Thisbook can be read by anyone with a master's (or evena bachelor's) degree in mathematics, computer sci-ence or physics, or more generally by anyone wholikes mathematical ideas. Rather than presenting de-tailed proofs, the main ideas are described, and a [..]

Features

Several world experts present one part of the math-ematical heritage left to us by Kolmogorov Ratherthan present detailed proofs, the main ideas are de-scribed.

Contents

Introduction: E. Charpentier, A. Lesne, N. Nikols-ki .- The youth of Andrei Nikolaevich and Fourierseries: J.-P. Kahane .- Kolmogorov's contributionto intuitionistic logic: T. Coquand.- Some aspectsof the probabilistic work: L. Chaumont, L. Mazli-ak, M. Yor.- Infinite dimensional Kolmogorov equa-tions: G. Da Prato.- From Kolmogorov's theorem onempirical distribution to number theory: K. Ford.-Kolmogorov's -entropy and the problem of statisti-cal estimation: M. Nikouline, V. Solev.- Kolmogorovand topology: V. M. Buchstaber .- Geometry and ap-proximation theory in A. N. Kolmogorov's [..]

Fields of interest

Mathematical Logic and Foundations; ProbabilityTheory and Stochastic Processes; Dynamical Systemsand Ergodic Theory; Fourier Analysis; Topology

Target groups

Mathematicians, physicists, computer scientists

Type of publication


Due August 2007

Original French edition published by Éditions Belin, 2004

2007. VIII, 317 p. 22 illus. Hardcover

39,95 €

ISBN 978-3-540-36349-1


A. Chatterjee, Saha Institute of Nuclear Physics, Kolkata, India;

B.K. Chakrabarti, Saha Institute of Nuclear Physics, Kolkata, India

(Eds.)

Econophysics of Markets and

Business Networks

Econophysicists have recently been quite success-ful in modelling and analysing various financial sys-tems like trading, banking, stock and other markets.The statistical behaviour of the underlying networksin these systems have also been identified and char-acterised recently. This book reviews the currenteconophysics researches in the structure and func-tioning of these complex financial network systems.Leading researchers in the respective fields will re-port on their recent researches and review on thecontemporary developments. The book will also in-clude the comments and debates on the latest issuesarising out of these

Fields of interest

Statistical Physics; Nonlinear Dynamics, ComplexSystems, Chaos, Neural Networks; Game Theo-ry/Mathematical Methods; Finance /Banking

Target groups

Libraries, scientists, institutes, practitioners, indus-try, undergraduate students, graduate students

Type of publication

Professional book

Due September 2007

2007. XII, 266 p. (New Economic Windows) Hardcover

65,95 €

ISBN 978-88-470-0664-5

A.C.-L. Chian, National Institute for Space Research (INPE), São

José dos Campos, Brazil

Complex Systems Approach to

Economic Dynamics

Economic Systems exhibit complex dynamics ev-idenced by large-amplitude and aperiodic fluctu-ations in economic variables, such as foreign ex-change rates and stock market prices, indicating thatthese systems are driven far from the equilibrium.Characterization of the complex behavior of eco-nomic cycles, by identifying regular and irregularpatterns and regime switching in economic time se-ries, is the key for pattern recognition and forecast-ing of economic cycles. Statistical analysis of stockmarkets and foreign exchange markets has demon-strated the intermittent nature of economic time se-ries. A nonlinear model of business cycles is able tosimulate intermittency arising from order-chaos andchaos-chaos transitions. This monograph introducesnew concepts of unstable periodic orbits and chaoticsaddles which are unstable structures embedded in achaotic attractor, responsible for economic intermit-tency.

Fields of interest

Game Theory/Mathematical Methods; Game Theo-ry, Economics, Social and Behav. Sciences; Econom-ic Theory; Nonlinear Dynamics, Complex Systems,Chaos, Neural Networks; Macroeconomics/Mone-tary Economics

Target groups

Scientists

Type of publication

Monograph

Due July 2007

2007. X, 101 p. 40 illus. (Lecture Notes in Economics and Mathe-

matical Systems, Vol. 592) Softcover

49,95 €

ISBN 978-3-540-39752-6

A. Chiuso, Universita di Padova, Visenza, Italy; A. Ferrante, Uni-

versita di Padova, Visenza, Italy; S. Pinzoni, Universita di Padova,

Visenza, Italy (Eds.)

Modeling, Estimation and Control

Festschrift in Honor of Giorgio Picci on the Occasion of his Six-

ty-Fifth Birthday

Features

Results of a workshop with invited leading re-searchers in control

Contents

Coefficients of Variations in Analysis of Macro-Policy Effects: An example of two-parameter Pois-son-Dirichlet distributions.- How Many Experi-ments Are Needed to Adapt?- A Mutual InformationBased Distance for Multivariate Gaussian Processes.-Differential Forms and Dynamical Systems.- An Al-gebraic Framework for Bayes Nets of Time Series.-A Birds Eye View on System Identification.- FurtherResults on the Byrnes-Georgiou-Lindquist General-ized Moment Problem.- Factor Analysis and Alter-nating Minimization.- Tensored PolynomialModels.-Distances Between Time-Series and Their Autocor-relation [..]

Fields of interest


Target groups


Type of publication

Monograph

Due August 2007

2007. XXVI, 356 p. Also available online. (Lecture Notes in Control


99,95 €

ISBN 978-3-540-73569-4


C. Christopher, Plymouth University, UK; C. Li, Beijing University,

China

Limit Cycles of Differential

Equations

This textbook contains the lecture series originallydelivered at the "Advanced Course on Limit Cyclesof Differential Equations" in the Centre de Recher-cha Mathematica Barcelona in 2006. The topics cov-ered are the center-focus problem for polynomialvector fields, and the application of abelian integralsto limit cycle bifurcations. Both topics are related tothe authors' interests in Hilbert's sixteenth problem,but would also be of interest to those working moregenerally in the qualitative theory of dynamical sys-tems.

Features

Gives a survey of current areas of active researchWritten in an approachable manner suitable forgraduate students

Contents

Preface.- I. Abelian Integrals and Applications tothe Weak Hilbert's 16th Problem - 1. Hilbert's 16thProblem and Its Weak Form - 2. Abelian Integralsand Limit Cycles - 3. Esitmate of the Number of Ze-roes - 4. A Unified Proof on the Weak Hilberts's16th Problem for N=2.- II. Around the Center-FocusProblem - 1. Centers and Limit Cycles - 2. DarbouxIntegrability - 3. Liouvillian Integrability - 4. Symme-try - 5. Cherka's Systems - 6. Monodromy - 7. TheTangential Center-Focus Problem - 8. Monodromyof Hyperelliptic Abelian Integrals - 9. Holonomy andthe Lotka-Volterra System - 10. [..]

Fields of interest

Ordinary Differential Equations; Dynamical Systemsand Ergodic Theory

Target groups

Graduate students and researchers interested in thequalitative theory of dynamical systems

Type of publication


Due May 2007

2007. VIII, 171 p. 12 illus. (Advanced Courses in Mathematics -

CRM Barcelona) Softcover

29,90 €

ISBN 978-3-7643-8409-8


F. Christophersen, ETH Zurich, Switzerland

Optimal Control of Constrained

Piecewise Affine Systems

One of the most important and challenging prob-lems in control is the derivation of systematic toolsfor the computation of controllers for constrainednonlinear systems that can guarantee closed-loopstability, feasibility, and optimality with respect tosomeperformance index. This book focuses on theefficient and systematic computation of closed-formoptimal controllers for the powerful class of fast-sampled constrained piecewise affine systems. Thesesystems may exhibit rather complex behavior and areequivalent to many other hybrid system formalisms(combining continuous-valued dynamics with logicrules) reported in the literature. Furthermore, piece-wise affinesystems are a useful modeling tool thatcan capture general nonlinearities (e.g. by local ap-proximation), constraints, saturations, switches, andother hybrid modeling phenomena. The first partof the book presents an introduction to the mathe-matical and control theoretical background materialneeded for the full understanding of the [..]

Contents

I Background.- Mathematical Necessities.- Systemsand Control Theory.- Receding Horizon Control.-Piecewise Affine Systems.- II Constrained OptimalControl of Piecewise Affine Systems.- ConstrainedFinite Time Optimal Control.- Constrained InfiniteTime Optimal Control.- III Analysis and Post-Pro-cessing Techniques For Piecewise Affine Systems.-Linear Vector Norms as Lyapunov Functions.- Sta-bility Analysis.- Stability Tubes.- Efficient Evaluationof Piecewise Control Laws over a Large Number ofPolyhedra.

Fields of interest


Target groups

Engineers and researchers in control

Type of publication

Monograph

Due July 2007

2007. XXVII, 189 p. Also available online. (Lecture Notes in Con-

trol and Information Sciences, Vol. 359) Softcover

79,95 €

ISBN 978-3-540-72700-2

G. Ciuprina, Politehnica University of Bucharest, Romania; D.

Ioan, Politehnica University of Bucharest, Romania (Eds.)

Scientific Computing in Electrical

Engineering

This book is a collection of selected papers present-ed at the last Scientific Computing in Electrical En-gineering (SCEE) Conference, held in Sinaia, Roma-nia, in 2006. The series of SCEE conferences aims ataddressing mathematical problems which have a rel-evance to industry, with an emphasis on modelingand numerical simulation of electronic circuits, elec-tromagnetic fields but also coupled problems andgeneral mathematical and computational methods.This book is particularly important for engineers,physicists and mathematicians who want to knowthe state of the art with respect to scientific chal-lenges arising from problems of interest for industry.

Features

High-level book on industrial mathematics

Fields of interest

Computational Science and Engineering; Electronicand Computer Engineering; Electromagnetism, Op-tics and Lasers; Numerical Analysis; Ordinary Differ-ential Equations; Partial Differential Equations

Target groups

For electrical engineers, mathematicians, physicistsand computer scientists

Type of publication

Professional book

Due June 2007

2007. XXII, 464 p. 231 illus., 112 in color. (The European Consor-

tium for Mathematics in Industry, Vol. 11) Hardcover

89,95 €

ISBN 978-3-540-71979-3

A.M. Cohen, Cardiff University, UK

Numerical Methods for Laplace

Transform Inversion

Operational methods have been used for over a cen-tury to solve problems such as ordinary and partialdifferential equations. When solving such problems,in many cases it is fairly easy to obtain the Laplacetransform, while it is very demanding to determinethe inverse Laplace transform that is the solution of agiven problem. Sometimes, after some difficult con-tour integration, we may find that a series solutionresults, but this may be quite difficult to evaluate inorder to get an answer at a particular time value. Theadvent of computers has given an impetus to devel-oping numerical methods for the determination ofthe inverse Laplace transform. This book gives back-ground material on the theory of Laplace transforms,together with a fairly comprehensive list of methodsthat are available at the current time. Computer pro-grams are included for those methods that performconsistently well on a wide range of Laplace trans-forms.

Features

Presents state-of-the-art research on numericalmethods for evaluating the inverse Laplace transform

Contents

Preface.- Acknowledgments.- Notation.- Basic Re-sults.- Inversion Formulae and Practical Results.-The Method of Series Expansion.- QuadratureMethods.- Rational Approximation Methods.- TheMethod of Talbot.- Methods Based on the Post-Wid-der Inversion Formula.- The Method of Regulariza-tion.- Survey Results.- Applications.- Appendix.- In-dex.

Fields of interest

Integral Transforms, Operational Calculus;Appl.Mathematics/Computational Methods of Engi-neering

Target groups

Engineers, scientists, mathematicians, statisticiansand financial planners

Type of publication

Monograph

Due August 2007

2007. XIV, 252 p. (Numerical Methods and Algorithms, Vol. 5)

Hardcover

54,95 €

ISBN 978-0-387-28261-9


H. Cohen, Université Bordeaux I, Talence, France

Number Theory

Volume II: Analytic and Modern Tools

This book deals with several aspects of what is nowcalled "explicit number theory." The central themeis the solution of Diophantine equations, i.e., equa-tions or systems of polynomial equations which mustbe solved in integers, rational numbers or more gen-erally in algebraic numbers. This theme, in particu-lar, is the central motivation for the modern theoryof arithmetic algebraic geometry. In this text, this isconsidered through three of its most basic aspects.The first is the local aspect: one can do analysis in p-adic fields, and here the author starts by looking atsolutions in finite fields, then proceeds to lift thesesolutions to local solutions using Hensel lifting. Thesecond aspect is the global aspect: the use of num-ber fields, and in particular of class groups and unitgroups. The third aspect is the theory of zeta andL-functions. This last aspect can be considered as aunifying theme for the whole subject, and embodiesin a beautiful way the local and global aspects of Dio-phantine [..]

Features

Unique collection of topics centered around a unify-ing topic More than 350 exercises Text is largely self-contained

Contents

Bernoulli Polynomials and the Gamma Functions.-Dirichlet Series.- Applications of Linear Forms inLogarithms.- Rational Points on Higher GenusCurves.- The Modular Approach to DiophantineEquations.- The Superfermat Equation.- Catalan’sEquation.- Bibliography.- Index.

Fields of interest

Number Theory; Algorithms; Field Theory and Poly-nomials; Computational Mathematics and Numer-ical Analysis; Order, Lattices, Ordered AlgebraicStructures

Target groups

Graduate students, mathematicians, researchers

Type of publication


Due June 2007

2007. XXIII, 596 p. (Graduate Texts in Mathematics, Vol. 240)

Hardcover

46,95 €

ISBN 978-0-387-49893-5

H. Cohen, Université Bordeaux I, Talence, France

Number Theory

Volume I: Tools and Diophantine Equations

The central theme is the solution of Diophantineequations, i.e., equations or systems of polynomialequations which must be solved in integers, rationalnumbers or more generally in algebraic numbers.This theme, in particular, is the central motivationfor the modern theory of arithmetic algebraic geom-etry. In this text, this is considered through three ofits most basic aspects. The first is the local aspect:one can do analysis in p-adic fields, and here the au-thor starts by looking at solutions in finite fields,then proceeds to lift these solutions to local solutionsusing Hensel lifting. The second aspect is the glob-al aspect: the use of number fields, and in particularof class groups and unit groups. The third aspect isthe theory of zeta and L-functions. This last aspectcan be considered as a unifying theme for the wholesubject, and embodies in a beautiful way the localand global aspects of Diophantine problems. In fact,these functions are defined through the local aspectsof the [..]

Features

Unique collection of topics centered around aunifying topic More than 350 exercises Text is largelyself-contained

Contents

Preface.- Introduction to Diophantine Equations.-Abelian Groups, Lattices, and Finite Fields.-Basic Al-gebraic Number Theory.- p-adic Fields.-QuadraticForms and Local-Global Principles.- Some Diophan-tine Equations.- Eilliptic Curves.- Diophantine As-pects of Elliptic Curves.- Bibliography.- Index.

Fields of interest

Number Theory; Algorithms; Field Theory and Poly-nomials; Computational Mathematics and Numer-ical Analysis; Order, Lattices, Ordered AlgebraicStructures

Target groups

Graduate students, mathematicians, researchers

Type of publication


Due June 2007

2007. XXIII, 650 p. (Graduate Texts in Mathematics, Vol. 239)

Hardcover

46,95 €

ISBN 978-0-387-49922-2

D.G. Costa, University of Nevada, Las Vegas, NV, USA

An Invitation to Variational

Methods in Differential Equations

This book is a short introductory text to variation-al techniques with applications to differential equa-tions. It presents a sampling of topics in critical pointtheory with applications to existence and multiplic-ity of solutions in nonlinear problems involving or-dinary differential equations (ODEs) and partial dif-ferential equations (PDEs). Five simple problems inODEs which illustrate existence of solutions from avariational point of view are introduced in the firstchapter. These problems set the stage for the topicscovered, including minimization, deformation re-sults, the mountain-pass theorem, the saddle-pointtheorem, critical points under constraints, a duali-ty principle, critical points in the presence of sym-metry, and problems with lack of compactness. Eachtopic is presented in a straightforward manner, andfollowed by one or two illustrative applications. Theconcise, straightforward, user-friendly approach ofthis textbook will appeal to graduate students and re-searchers interested in [..]

Features

Serves as a sampling of topics in critical point theo-ry Ideal for graduate students and researchers inter-ested in differential equations and nonlinear analysisApplications immediately follow each result for easyassimilation by the reader

Contents

Preface.- Introduction.- Critical Points Via Mini-mization.- The Deformation Theorem.- The Moun-tain-Pass Theorem.- The Saddle-Point Theorem.-Critical Points under Constraints.- A Duality Prin-ciple.- Critical Points under Symmetries.- Prob-lems with an S1-Symmetry.- Problems with Lack ofCompactness.- Lack of Compactness for Bounded\Omega.-Index.

Fields of interest

Ordinary Differential Equations; Calculus of Vari-ations and Optimal Control; Optimization; PartialDifferential Equations

Target groups

Graduate students and researchers interested in Dif-ferential Equations and Nonlinear Analysis

Type of publication


Due July 2007

2007. XII, 138 p. 9 illus. Softcover

39,90 €

ISBN 978-0-8176-4535-9


J. Cousteix, ONERA Centre de Toulouse, France; J. Mauss, Univer-

sité Paul Sabatier, Toulouse, France

Asymptotic Analysis and Boundary

Layers

This book presents a new method of asymptoticanalysis of boundary-layer problems, the SuccessiveComplementary Expansion Method (SCEM). Thefirst part is devoted to a general comprehensive pre-sentation of the tools of asymptotic analysis. It givesthe keys to understand a boundary-layer problemand explains the methods to construct an approx-imation. The second part is devoted to SCEM andits applications in fluid mechanics, including exter-nal and internal flows. The advantages of SCEM arediscussed in comparison with the standard Methodof Matched Asymptotic Expansions. In particular,for the first time, the theory of Interactive Bound-ary Layer is fully justified. With its chapter sum-maries, detailed derivations of results, discussed ex-amples and fully worked out problems and solutions,the book is self-contained. It is written on a mathe-matical level accessible to graduate and post-gradu-ate students of engineering and physics with a goodknowledge in fluid mechanics. Researchers and prac-titioners [..]

Contents

Introduction to Singular Perturbation Problems.-Boundary Layer Structure.- Asymptotic Expansions.-Successive Complementary Expansion Method.- Or-dinary Differential Equations.- High Reynolds Num-ber Flows.- Interactive Boundary Layer.- Applica-tions of Interactive Boundary Layer Models.- Regu-lar Forms of the Interactive Boundary Layer.- Turbu-lent Boundary Layer.- Channel Flow.- Conclusion.-Appendices.- Solutions of Problems.- References.-Indexes.

Fields of interest

Numerical and Computational Methods; Computa-tional Science and Engineering; Appl.Mathematics/Computational Methods of Engineering; Engineer-ing Fluid Dynamics

Target groups

PHD-students, researchers, practitioners

Type of publication

Monograph

Due March 2007

2007. XVII, 432 p. 85 illus. (Scientific Computation) Hardcover

99,95 €

ISBN 978-3-540-46488-4

D. Cox, Amherst College, Amherst, MA, USA; J. Little, College of

the Holy Cross, Worcester, MA, USA; D. O'Shea, Mount Holyoke

College, South Hadley, MA, USA

Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and

Commutative Algebra

Algebraic Geometry is the study of systems of poly-nomial equations in one or more variables, askingsuch questions as: Does the system have finitelymany solutions, and if so how can one find them?And if there are infinitely many solutions, how canthey be described and manipulated? The solutionsof a system of polynomial equations form a geomet-ric object called a variety; the corresponding alge-braic object is an ideal. There is a close relationshipbetween ideals and varieties which reveals the inti-mate link between algebra and geometry. Writtenat a level appropriate to undergraduates, this bookcovers such topics as the Hilbert Basis Theorem, theNullstellensatz, invariant theory, projective geome-try, and dimension theory. The algorithms to answerquestions such as those posed above are an impor-tant part of algebraic geometry. Although the algo-rithmic roots of algebraic geometry are old, it is on-ly in the last forty years that computational methodshave regained their earlier prominence. New [..]

Features

Covers important topics such as the Hilbert BasisTheorem, the Nullstellensatz, invariant theory, pro-jective geometry, and dimension theory Includes asignificantly updated section on Maple in AppendixC Contains updated information on AXIOM, Co-CoA, Macaulay 2, Magma, Mathematica and SIN-GULAR A shorter proof of the Extension Theoremis presented in Section 6 of Chapter 3 Over 200 pagesreflect changes as [..]

Contents

Preface to the First Edition.- Preface to the SecondEdition.- Preface to the Third Edition.- Geometry,Algebra, and Algorithms.- Groebner Bases.- Elimi-nation Theory.- The Algebra-Geometry Dictionary.-Polynomial and Rational Functions on a Variety.-Robotics and Automatic Geometric Theorem Prov-ing.- Invariant Theory of Finite Groups.- ProjectiveAlgebraic Geometry.- The Dimension of a Variety.-Appendix A. Some Concepts from Algebra.- Ap-pendix B. Pseudocode.- Appendix C. Computer Al-gebra Systems.- Appendix D. Independent Projects.-References.- Index.

Fields of interest

Algebraic Geometry; Commutative Rings and Alge-bras; Mathematical Logic and Foundations; Mathe-matical Software

Target groups

Undergraduates in Mathematics

Type of publication


Due March 2007

2007. XV, 551 p. (Undergraduate Texts in Mathematics) Hardcov-

er

42,95 €

ISBN 978-0-387-35650-1

A.D.D. Craik, University of St. Andrews, UK

Mr Hopkins' Men: Cambridge

Reform and British Mathematics in

the 19th Century

This wide-ranging book tells the story of the remark-able William Hopkins and the education and ca-reers of his top "wranglers", many of whom went onto have illustrious careers as bishops, judges, politi-cians, scientists or educators. It draws on first-handaccounts of life at Cambridge to give the reader aglimpse inside its colleges, and it charts the evolu-tion of the curriculum and the slow reforms that ledto Cambridge’s dominance of British higher edu-cation. It surveys the scientific achievements of thetime and considers the disproportionate contribu-tions made by Scottish and Irish alumni in establish-ing a research community. Gradually, Cambridgewas transformed from a near-moribund institutioninto a world-renowned centre for the mathematicaland physical sciences. Many famous scientists andmathematicians are profiled and, as a special high-light, Hopkins’ own collection of portraits of his topstudents, attributed to the artist T.C. Wageman, arepublished – in colour – for the first time.

Features

Hopkins’ own collection of portraits of his top stu-dents, attributed to the artist T.C. Wageman, is pub-lished here - in full colour - for the first time Chartsthe evolution of teaching and research at CambridgeUniversity during a key period in the developmentof the mathematical sciences in Britain Surveys thecareers and achievements of the top Wranglers of theperiod 1829-60 including G. Green, G.G. [..]

Contents

Part I: Educating the Elite.- Introducing Hop-kins and his Wranglers.- The Student Experience1820-1860.- Cambridge University in Context.-Teaching at Cambridge.- William Hopkins.- Hop-kins’ Top Wranglers 1829-1854.- Part II: Careersof the Wranglers.- The "Cambridge Stamp".- TheGrowth of a Research Community.- Achievementsin the Mathematical Sciences.- Wranglers at Home:Four Biographies.- Wranglers Abroad: Churchmenand Educators in the Colonies.- Postscript.

Fields of interest

History of Mathematics; History of Science; ScienceEducation; Popular Science in Mathematics/NaturalScience/Technology

Target groups

Students, teachers and researchers interested in thehistory of mathematics and the physical sciences;Students, teachers and researchers interested in thehistory of education

Type of publication

Monograph

Due August 2007

2007. XIV, 410 p. 78 illus., 48 in colour. Hardcover

99,95 €

ISBN 978-1-84628-790-9


J. Cuntz, Westfälische Wilhelms-Universität, Münster, Germany;

R. Meyer, Georg-August-Universität, Göttingen, Germany; J.M.

Rosenberg, University of Maryland, College Park, MD, USA

Topological and Bivariant K-Theory

Topological K-theory is one of the most importantinvariants for noncommutative algebras equippedwith a suitable topology or bornology. Bott periodic-ity, homotopy invariance, and various long exact se-quences distinguish it from algebraic K-theory. Thisbook describes a bivariant K-theory for bornolog-ical algebras, which provides a vast generalizationof topological K-theory. In addition, it details otherapproaches to bivariant K-theories for operator al-gebras. The book studies a number of applications,including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with someof its applications, and some variants of the Atiyah-Singer Index Theorem.

Features

First available book on bivariant topological K-theo-ry for algebras other than C*-algebras with completeproofs Several new results about bivariant K-theoryfor general algebras in this book did not even appearin journal publications before The exposition is ac-cessible to graduate students Modern ideas from cat-egory theory are used to study bivariant K-theory

Contents

Preface.- The Elementary Algebra of K-theory.-Functional Calculus and Topological K-theory.- Ho-motopy Invariance of Stabilized Algebraic K-theory.-Bott periodicity.- K-theory of Crossed Products.- Bi-variant K-theory.- Connections with Index Theory.-Localization of Triangulated Categories.- Algebras ofContinuous Trace and Twisted K-theory.- Connes'Thom Isomorphism.- Applications to Physics.

Fields of interest

K-Theory

Target groups

Senior researchers and graduate students working inareas related to K-theory, operator algebras, or non-commutative geometry

Type of publication


Due July 2007

2007. XI, 262 p. (Oberwolfach Seminars, Vol. 36) Softcover

29,90 €

ISBN 978-3-7643-8398-5

R.-A. Dana, Université Paris IX (Dauphine), Paris, France; M. Jean-

blanc, Université d'Evry, France

Financial Markets in Continuous

Time

In modern financial practice, asset prices are mod-elled by means of stochastic processes, and contin-uous-time stochastic calculus thus plays a centralrole in financial modelling. This approach has itsroots in the foundational work of the Nobel laureatesBlack, Scholes and Merton. Asset prices are furtherassumed to be rationalizable, that is, determined byequality of demand and supply on some market. Thisapproach has its roots in the foundational work onGeneral Equilibrium of the Nobel laureates Arrowand Debreu and in the work of McKenzie. This bookhas four parts. The first brings together a number ofresults from discrete-time models. The second devel-ops stochastic continuous-time models for the val-uation of financial assets (the Black-Scholes formu-la and its extensions), for optimal portfolio and con-sumption choice, and for obtaining the yield curveand pricing interest rate products. The third part re-calls some concepts and results of general equilibri-um theory, and applies this in [..]

Features

Explains key financial concepts, mathematical toolsand theories of mathematical finance Range of topicscovered is very broad for an introductory text Con-tains two separate appendices on Brownian motionand on numerical methods

Contents

The Discrete Case.- Dynamic Models in DiscreteTime.- The Black-Scholes Formula.- Portfolios Op-timizing Wealth and Consumption.- The YieldCurve.- Equilibrium of Financial Markets in DiscreteTime.- Equilibrium of Financial Markets in Continu-ous Time. The Complete Markets Case.- IncompleteMarkets.- Exotic Options.- Appendix A: BrownianMotion.- Appendix B: Numerical Methods.

Fields of interest

Quantitative Finance; Probability Theory andStochastic Processes

Target groups

Graduate students, undergraduate students and re-searchers

Type of publication


Due July 2007

Original French edition published by Economica, Paris, 1998

2007. XI, 326 p. (Springer Finance) Softcover

39,95 €

ISBN 978-3-540-71149-0

A.J. Das, Simon Fraser University, Burnaby, BC, Canada

Tensors: The Mathematics of

Relativity Theory and Continuum

Mechanics

This book emerged from courses taught at the Uni-versity College of Dublin, Carnegie-Mellon Univer-sity and mostly at Simon Fraser University. This isa modern introduction to the theory of tensor al-gebra and tensor analysis. It discusses tensor alge-bra in Chapters 1 and 2. Differential manifold is in-troduced in Chapter 3. Tensor analysis, differentialforms, connection forms, and curvature tensor arediscussed in Chapter 4. Chapters 5, 6 and 7 investi-gate in great detail Riemannian and pseudo-Rieman-nian manifolds. Throughout the book, examples andproblems are furnished from the theory of relativityand continuum mechanics. The extensive presenta-tion of mathematical tools, examples and problemsmake this book a unique text for the pursuit of boththe mathematical relativity theory and continuummechanics.

Features

Many known concepts which are scattered in vari-ous books are brought together in a rigorous, logi-cal way Chapter 7 contains discussion on extrinsiccurvature which is more extensive than in any otherbook available Tensor analysis is further explained inthe book, touching on general differential manifolds,manifolds with connections and manifolds with met-rics and connections. Competing books have only [..]

Contents

Finite- Dimensional Vector Spaces and Linear Map-pings.- Fields.- Finite-Dimensional Vector Spaces.-Linear Mappings of a Vector Space.- Dual or Covari-ant Vector Space.- Tensor Algebra.- The Second Or-der Tensors.- Higher Order Tensors.- Exterior orGrassmann Algebra.- Inner Product Vector Spacesand the Metric Tensor.- Tensor Analysis on a Differ-entiable Manifold.- Differentiable Manifolds.- Vec-tors and Curves.- Tensor Fields over DifferentiableManifolds.- Differential Forms and Exterior Deriva-tives.- Differentiable Manifolds with Connections.-The Affine Connection and Covariant [..]

Fields of interest

Mathematical and Computational Physics; Mathe-matical Methods in Physics

Target groups

Scientists and researchers in the fields of mathemati-cal physics, theoretical physics, applied mathematics,and theoretical engineering

Type of publication

Monograph

Due September 2007

2007. XII, 292 p. Hardcover

99,95 €

ISBN 978-0-387-69468-9


O. Descalzi, University of Los Andes, Las Condes-Santiago, Chile;

O.A. Rosso, University of Buenos Aires, Buenos Aires, Argentina;

H.A. Larrondo, Universidad Nacional de Mar del Plata, Mar del

Plata, Argentina (Eds.)

Nonequilibrium Statistical

Mechanics and Nonlinear Physics

XV Conference on Nonequilibrium Statistical Mechanics and

Nonlinear Physics

Statistical mechanics and nonlinear physics are re-search areas that have developed a multidisciplinarycharacter with many applications. The scientificproblems discussed in this volume include biologicalapplications of statistical physics, econophysics andsociologically related problems, chaos and nonlin-ear dynamics, pattern formation and spatio-tempo-ral complexity, fluids and granular media, q-thermo-statistics, stochastic processes, lasers and nonlinearoptics, synchronization, wavelets and nonlinear timeseries analysis.

Fields of interest

Mathematical Methods in Physics; Statistical Physics;Mechanics; Granular Media

Target groups

Physicists working in statistical mechanics, physicistsworking in nonlinear physics, as well as biologists

Type of publication

Proceedings

Due June 2007

2007. XIII, 224 p. (Mathematical and Statistical Phsyics, Vol. 913)

Hardcover

70,85 €

ISBN 978-0-7354-0421-2

A. Deutsch, Technical University of Dresden, Germany; L. Brusch,

Technical University of Dresden, Germany; H. Byrne, University

of Nottingham, UK; G. de Vries, University of Alberta, Edmonton,

Canada; H. Herzel, Humboldt-Universität zu Berlin, Berlin, Ger-

many (Eds.)

Mathematical Modeling of

Biological Systems, Volume I

Cellular Biophysics, Regulatory Networks, Development,

Biomedicine, and Data Analysis

Volume I of this two-volume, interdisciplinary workis a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of math-ematical modeling in the biological sciences. High-lighted throughout the work are mathematical andcomputational approaches to solving central prob-lems in the life sciences, ranging from the organi-zational principles of individual cells to the dynam-ics of large populations. The chapters are themati-cally organized into the following main areas: Cellu-lar Biophysics; Regulatory Networks; Developmen-tal Biology; Biomedical Applications; Data Analysisand Model Validation. The work will be an excellentreference text for a broad audience of researchers,practitioners, and advanced students in this rapid-ly growing field at the intersection of applied math-ematics, experimental biology and medicine, com-putational biology, biochemistry, computer science,and physics.

Features

Unified presentation of mathematical modelingin the biological sciences Presents state-of-the-artmathematical modeling and simulation techniquesneeded to examine central problems in the life sci-ences Covers a diverse range of subjects having re-al-world applications to epidemiology, evolution,ecology, immunology, and neurology For a broadaudience of researchers, practitioners, and advancedstudents in [..]

Contents

From the contents Preface.- Part I. Cellular Bio-physics.- Part II. Regulatory Networks.- Part III. De-velopment.- Part IV. Biomedical Applications.- PartV. Data Analysis and Model Validation.- Index &nb-sp;

Fields of interest

Mathematical Modeling and Industrial Mathematics;Mathematical Biology in General; Biophysics; CellBiology; Biomedicine general; Statistics for Life Sci-ences, Medicine, Health Sciences

Target groups

Researchers, practitioners, and advanced studentsin applied mathematics, experimental biology andmedicine, computational biology, biochemistry,computer science, and physics

Type of publication

Reference work

Due August 2007

2007. XVIII, 382 p. 120 illus. (Modeling and Simulation in Science,

Engineering and Technology) Hardcover

89,90 €

ISBN 978-0-8176-4557-1

G.K.E. Dietl, Munich, Germany

Linear Estimation and Detection in

Krylov Subspaces

This book focuses on the foundations of linear esti-mation theory which is essential for effective signalprocessing. In its first part, it gives a comprehensiveoverview of several key methods like reduced-ranksignal processing and Krylov subspace methods ofnumerical mathematics. Based on the derivation ofthe multistage Wiener filter in its most general form,the relationship between statistical signal process-ing and numerical mathematics is presented. In thesecond part, the theory is applied to iterative mul-tiuser detection receivers (Turbo equalization) whichare typically desired in wireless communications sys-tems. The investigations include exact computationalcomplexity considerations and performance analysisbased on extrinsic information transfer charts as wellas Monte-Carlo simulations.

Features

Comprehensive overview of linear estimation algo-rithms

Contents

Theory: Linear Estimation in Krylov Subspaces.- Ap-plication: Iterative Multiuser Detection.

Fields of interest

Signal,Image and Speech Processing; Computation-al Science and Engineering; Statistics for Engineer-ing, Physics, Computer Science, Chemistry & Geo-sciences; Math Applications in Computer Science;Appl.Mathematics/Computational Methods of Engi-neering

Target groups

Researchers in the fields of signal processing, infor-mation and communication theory

Type of publication

Monograph

Due July 2007

2007. XIX, 232 p. 53 illus. (Foundations in Signal Processing,

Communications and Networking, Vol. 1) Hardcover

99,95 €

ISBN 978-3-540-68478-7


K.F. Doerner, University of Vienna, Austria; M. Gendreau, CIRRELT,

Montreal, Canada; P. Greistorfer, Karl-Franzens-Universität Graz,

Austria; W. Gutjahr, University of Vienna, Austria; R.F. Hartl, Uni-

versity of Vienna, Austria; M. Reimann, ETH Zurich, Switzerland

(Eds.)

Metaheuristics

Progress in Complex Systems Optimization

The aim of Metaheuristics: Progress in Complex Sys-tems Optimization is to provide several differentkinds of information: a delineation of general meta-heuristics methods, a number of state-of-the-art ar-ticles from a variety of well-known classical applica-tion areas as well as an outlook to modern computa-tional methods in promising new areas. Therefore,this book may equally serve as a textbook in gradu-ate courses for students, as a reference book for peo-ple interested in engineering or social sciences, andas a collection of new and promising avenues for re-searchers working in this field. Highlighted are re-cent developments in the areas of Simulated Anneal-ing, Path Relinking, Scatter Search, Tabu Search,Variable Neighborhood Search, Hyper-heuristics,Constraint Programming, Iterated Local Search,GRASP, bio-inspired algorithms like Genetic Al-gorithms, Memetic Algorithms, Ant Colony Opti-mization or Swarm Intelligence, and several otherparadigms.

Features

All papers in the volume are carefully peer-reviewedpapers, which include high-interest research papersand tutorials from top researchers A series of tuto-rials on developing areas in Metaheuristics are giv-en by some of the top researchers in Metaheuristics:Edmund Burke, Reuven Rubinstein, Eric Taillard,Gilles Pesant, Pierre Hansen, and Stefan Voß Thisbook may equally serve as a textbook in graduate [..]

Contents

General concepts, case studies and software tools.-Path relinking, scatter search, and tabu search.-Bio-inspired methods.- Special neighbourhoodparadigms.- Linear and non-linear models includingrelaxation methods.- Hybridization.- Multiobjective,dynamic and stochastic problems and parallel com-putation.- New research avenus and application ar-eas.

Fields of interest

Operation Research/Decision Theory; OperationsResearch, Mathematical Programming; ComputingMethodologies; Optimization; Mathematical Model-ing and Industrial Mathematics; Theory of Compu-tation

Target groups

Professors and students in engineering and socialsciences- some technically- able practitioners

Type of publication

Contributed volume

Due September 2007

2007. XIV, 410 p. (Operations Research/Computer Science Inter-

faces Series, Vol. 39) Hardcover

99,95 €

ISBN 978-0-387-71919-1

E.V. Doktorov, Institute of Physics, Minsk, Belarus; S.B. Leble, Uni-

versity of Technology, Gdansk, Poland

A Dressing Method in Mathematical

Physics

This monograph systematically develops and consid-ers the so-called "dressing method" for solving differ-ential equations (both linear and nonlinear), a meansto generate new non-trivial solutions for a givenequation from the (perhaps trivial) solution of thesame or related equation. The primary topics of thedressing method covered here are: the Moutard andDarboux transformations discovered in XIX centuryas applied to linear equations; the Bäcklund transfor-mation in differential geometry of surfaces; the fac-torization method; and the Riemann-Hilbert prob-lem in the form proposed by Shabat and Zakharovfor soliton equations, plus its extension in terms ofthe d-bar formalism. Throughout, the text exploitsthe "linear experience" of presentation, with specialattention given to the algebraic aspects of the mainmathematical constructions and to practical rules ofobtaining new solutions. Various linear equations ofclassical and quantum mechanics are solved by theDarboux and factorization methods.

Features

Unifying concept for solving linear and nonlinearequations of mathematical physics Current status osresearch in the field

Contents

From the contents 1. Mathematical preliminaries. 2.Factorization and dressing. 3. Darboux transforma-tions. 4. Applications in linear problems. 5. Dressingchain equations. 6. The dressing in 2+1. 7. Impor-tant Links. 8. Dressing via the local Riemann-Hilbertproblem. 9. Dressing via the non-local RH problem.10. Generating new solutions with the d-bar prob-lem.

Fields of interest

Mathematical Methods in Physics; Non-associativeRings and Algebras; Functions of a Complex Vari-able; Classical Electrodynamics, Wave Phenomena

Target groups

Specialists in mathematical physics, quantum me-chanics, and applied mathematics; students of non-linear wave phenomena, nonlinear field theory, andalgebraic aspects of nonlinear equations

Type of publication

Monograph

Due May 2007

2007. XXIV, 383 p (Mathematical Physics Studies, Vol. 28) Hard-

cover

99,95 €

ISBN 978-1-4020-6138-7

C. Donati-Martin, Université Pierre et Marie Curie, Paris, France;

M. Émery, Université Louis Pasteur, Strasbourg I, France; A.

Rouault, Université Versailles-Saint-Quentin, Versailles, France; C.

Stricker, Université des Besançon, France (Eds.)

Séminaire de Probabilités XL

Two noteworthy features of the 40th volume ofSéminaire de Probabilités are L. Coutin’s advancedcourse on calculus driven by fractional Brownianmotion, and a series of seven interrelated works onlocal time-space calculus. Other topics from stochas-tic processes and stochastic finance include threecontributions by A.S. Cherny on general approachesto arbitrage pricing.

Fields of interest

Probability Theory and Stochastic Processes; GameTheory, Economics, Social and Behav. Sciences

Target groups

Researchers and graduate students in probabilitytheory and stochastic processes

Type of publication

Contributed volume

Due July 2007

2007. XI, 481 p. (Séminaire de Probabilités, Vol. 1899) Softcover

59,95 €

ISBN 978-3-540-71188-9


R.A. Doney, University of Manchester, UK; J. Picard, Université

Blaise-Pascale Clermont-Ferrand, Aubière, France (Ed.)

Fluctuation Theory for Lévy

Processes

Ecole d'Eté de Probabilités de Saint-Flour XXXV - 2005

Lévy processes, i.e. processes in continuous timewith stationary and independent increments, arenamed after Paul Lévy, who made the connectionwith infinitely divisible distributions and describedtheir structure. They form a flexible class ofmodels, which have been applied to the study of stor-age processes, insurance risk, queues, turbulence,laser cooling, ... and of course finance, where thefeature that they include examples having "heavytails" is particularly important. Their sample path be-haviour poses a variety of difficult and fascinatingproblems. Such problems, and also some related dis-tributional problems, are addressed in detail in thesenotes that reflect the content of the course given byR. Doney in St. Flour in 2005.

Contents

1. Introduction to Lévy processes.- 2. Subordinators.-3. Local times and excursions.- 4. Ladder process-es and the Wiener-Hopf factorisation.- 5. FurtherWiener-Hopf developments.- 6. Creeping and relat-ed questions.- 7. Spitzer’s Condition.- 8. Lévy pro-cesses conditioned to stay positive.- 9. Spectrally neg-ative L´evy processes.- 10. Small-time behaviour.-References.- Index.

Fields of interest

Probability Theory and Stochastic Processes

Target groups


Type of publication

Monograph

Due April 2007

2007. IX, 147 p. (Ecole d'Eté Probabilit.Saint-Flour, Vol. 1897)

Softcover

29,95 €

ISBN 978-3-540-48510-0

A. Dress, Bielefeld University, Germany; Y. Xu, Xi'an University,

China; B. Zhu, Montana State University, MT, USA (Eds.)

Combinatorial Optimization and

Applications

First International Conference, COCOA 2007, Xi'an, China, Au-

gust 14-16, 2007, Proceedings

This book constitutes the refereed proceedings ofthe First International Conference on CombinatorialOptimization and Applications, COCOA 2007, heldin Xi'an, China in August 2007. The 29 revised fullpapers presented together with 8 invited papers and2 invited presentations were carefully reviewed andselected from 114 submissions. The papers featureoriginal research in the areas of combinatorial opti-mization - both theoretical issues and and applica-tions motivated by real-world problems thus show-ing convincingly the usefulness and efficiency of thealgorithms discussed in a practical setting.

Fields of interest

Algorithm Analysis and Problem Complexity; Dis-crete Mathematics in Computer Science; NumericComputing; Computer Communication Networks;Computer Graphics; Algorithms

Target groups


Type of publication

Proceedings

Due July 2007

2007. XI, 390 p. (Lecture Notes in Computer Science, Vol. 4616)

Softcover

56,00 €

ISBN 978-3-540-73555-7

P. Drábek, University West Bohemia, Plzen, Czech Republic; J.

Milota, Charles University Prague, Czech Republic

Methods of Nonlinear Analysis

Applications to Differential Equations

In this book, the basic methods of nonlinear analysisare emphasized and illustrated in simple examples.Every considered method is motivated, explained ina general form but in the simplest possible abstractframework, and its applications are shown, particu-larly to boundary value problems for elementary or-dinary or partial differential equations. The text isorganized in two levels - a self-contained basic and,organized in appendices, an advanced level for themore experienced reader.

Features

Designed as textbook for advanced undergraduateand graduate students and useful as handbook ofnonlinear methods for scientists and engineers Exer-cises are an organic part of the exposition, accompa-nying the reader throughout the book Accessible tobeginners by avoiding too many technical details andkeeping key assertions simple

Contents

Preface.- 1. Preliminaries.- 2. Linear and NonlinearOperators.- 3. Abstract Integral and Differential Cal-culus.- 4.- Local Properties of Differentiable Map-pings.- 5. Topological and Monotonicity Methods.-6. Variational Methods.- 7. Boundary Value Prob-lems for PDE.- Summary of Methods.- Typical Ap-plications.- Comparison of Bifurcation Results.- Bib-liography.- Index.

Fields of interest

Analysis; Functional Analysis; Partial DifferentialEquations; Calculus of Variations and Optimal Con-trol; Optimization

Target groups

Advanced undergraduate and graduate students, in-structors, scientists and engineers

Type of publication


Due May 2007

2007. XII, 568 p. (Birkhäuser Advanced Texts / Basler Lehrbücher)

Hardcover

69,90 €

ISBN 978-3-7643-8146-2


V.D. Duffy, Purdue University, West Lafayette, IN, USA (Ed.)

Digital Human Modeling

First International Conference, DHM 2007, Helt as Part of HCI

International 2007, Beijing, China, July 22-27, 2007, Proceed-

ings

This book constitutes the refereed proceedings of theFirst International Conference on Digital HumanModeling, DHM 2007, held in Beijing, China in Ju-ly 2007 in the framework of the 12th InternationalConference on Human-Computer Interaction, HCII2007 with 8 other thematically similar conferences.The 118 revised papers presented were carefully re-viewed and selected from numerous submissions.The papers accepted for presentation thoroughlycover the thematic area of digital human modeling,addressing the following major topics: shape andmovement modeling and anthropometry, buildingand applying virtual humans, medical and rehabilita-tion applications, as well as industrial and ergonomicapplications.

Fields of interest

User Interfaces and Human Computer Interaction;Simulation and Modeling; Image Processing andComputer Vision; Pattern Recognition; Artificial In-telligence (incl. Robotics); Information Systems Ap-plications (incl.Internet)

Target groups


Type of publication

Proceedings

Due June 2007

2007. XXIII, 1068 p. Also available online. (Lecture Notes in Com-

puter Science, Vol. 4561) Softcover

102,00 €

ISBN 978-3-540-73318-8

H.-D. Ebbinghaus, Universität Freiburg, Germany

Ernst Zermelo

An Approach to His Life and Work

Ernst Zermelo (1871-1953) is best-known for thestatement of the axiom of choice and his axiomati-zation of set theory. However, he also worked in ap-plied mathematics and mathematical physics. Hisdissertation, for example, promoted the calculus ofvariations, and he created the pivotal method in thetheory of rating systems. This biography attempts toshed light on all facets of Zermelo's life and achieve-ments. Personal and scientific aspects are kept sepa-rate as far as coherence allows, in order to enable thereader to follow the one or the other of these threads.The description of his personality owes much to con-versations with his late wife Gertrud. The presenta-tion of his work explores motivations, aims, accep-tance, and influence. Selected proofs and informa-tion gleaned from unpublished notes and letters addto the analysis. All facts presented are document-ed by appropriate sources. The biography containsmore than 40 photos and facsimiles, most of themprovided by Gertrud Zermelo and [..]

Features

First biography of Zermelo

Fields of interest

History of Mathematics; Mathematical Logic andFoundations; Applications of Mathematics; Histo-ry of Science; Mathematical Logic and Formal Lan-guages; Logic

Target groups

Mathematicians, logicians, historians of Science

Type of publication

Biography

Due March 2007

2007. XIV, 356 p. 42 illus. Hardcover

49,95 €

ISBN 978-3-540-49551-2

A. Ebel, University of Cologne, Germany; T. Davitashvili, State

University Tbilisi, Georgia (Eds.)

Air, Water and Soil Quality

Modelling for Risk and Impact

Assessment

Environmental pollution by harmful anthropogenicsubstances and uncontrolled use of natural reserveshave become a global problem and require substan-tial efforts for developing and applying efficientmeasures of control, mitigation and abatement. Forachieving this goal predictions of possibly result-ing risks and impacts are urgently needed for futureenvironmental planning. The majority of environ-mental quality models is focusing on selected isolat-ed parts of the geo-system though impacts on onecompartment usually also affect one or more oth-er parts. There is a strong need to advance to an in-tegral treatment of air, soil and water pollution bycombining different models for different media. Fur-thermore it is imperative to develop and apply mod-ern methods of control theory to environmental riskassessment in order to support mitigation and abate-ment measures in an optimal way. The aim of theNATO Advanced Research Workshop on "Air, Wa-ter and Soil Quality Modelling for Risk and ImpactAssessment" [..]

Features

Joint treatment of air, water and soil quality Applica-tion of control theory and environmental data assim-ilation Integrated environmental modelling Mod-elling for security

Contents

Preface.- Risk and Emergency Modelling for Envi-ronmental Security: General Aspects.- VariationalTechnique for Environmental Risk/Vulnerability As-sessment and Control.- Environmental Risk and As-sessment Modelling – Scientific Needs and Expect-ed Advancements.- Control Theory and Environ-mental Risk Assessment.- Air Quality Models forRisk Assessment and Emergency Preparedness – In-tegration into Control Networks.- Integrated Assess-ment Modelling: Applications of the Impact PathwayMethodology.- Advanced Air Pollution Models andtheir Application to Risk and Impact Assessment.-Dispersion [..]

Fields of interest

Environmental Computing/Environmental Mod-elling; Calculus of Variations and Optimal Control;Optimization; Atmospheric Protection/Air QualityControl/Air Pollution; Soil Science & Conservation;Waste Water Technology / Water Pollution Con-trol / Water Management / Aquatic Pollution

Target groups

Scientists working in the field of environmentalmodelling, numerical modelling, risk and emergencyanalysis, environmental planning and policy, climateresearch, geo-system research

Type of publication

Proceedings

Due May 2007

2007. XI, 365 p. (NATO Science for Peace and Security Series C:

Environmental Security) Softcover

69,95 €


ISBN 978-1-4020-5876-9 A. Ebel, University of Cologne, Germany; T. Davitashvili, State

University Tbilisi, Georgia (Eds.)

Air, Water and Soil Quality

Modelling for Risk and Impact

Assessment

Environmental pollution by harmful anthropogenicsubstances and uncontrolled use of natural reserveshave become a global problem and require substan-tial efforts for developing and applying efficientmeasures of control, mitigation and abatement. Forachieving this goal predictions of possibly result-ing risks and impacts are urgently needed for futureenvironmental planning. The majority of environ-mental quality models is focussing on selected iso-lated parts of the geo-system though impacts on onecompartment usually also affect one or more oth-er parts. There is a strong need to advance to an in-tegral treatment of air, soil and water pollution bycombining different models for different media. Fur-thermore it is imperative to develop and apply mod-ern methods of control theory to environmental riskassessment in order to support mitigation and abate-ment measures in an optimal way. The aim of theNATO Advanced Research Workshop on "Air, Wa-ter and Soil Quality Modelling for Risk and ImpactAssessment" [..]

Features

Joint treatment of air, water and soil quality Applica-tion of control theory and environmental data assim-ilation Integrated environmental modelling Mod-elling for security

Contents

Preface.- Risk and Emergency Modelling for Envi-ronmental Security: General Aspects.- VariationalTechnique for Environmental Risk/Vulnerability As-sessment and Control.- Environmental Risk and As-sessment Modelling – Scientific Needs and Expect-ed Advancements.- Control Theory and Environ-mental Risk Assessment.- Air Quality Models forRisk Assessment and Emergency Preparedness – In-tegration into Control Networks.- Integrated Assess-ment Modelling: Applications of the Impact PathwayMethodology.- Advanced Air Pollution Models andtheir Application to Risk and Impact Assessment.-Dispersion [..]

Fields of interest

Environmental Computing/Environmental Mod-elling; Calculus of Variations and Optimal Control;Optimization; Atmospheric Protection/Air QualityControl/Air Pollution; Soil Science & Conservation;Waste Water Technology / Water Pollution Con-trol / Water Management / Aquatic Pollution

Target groups

Scientists working in the field of environmentalmodelling, numerical modelling, risk and emergencyanalysis, environmental planning and policy, climateresearch, geo-system research

Type of publication

Proceedings

Due May 2007

2007. XI, 365 p. (NATO Science for Peace and Security Series C:

Environmental Security) Hardcover

159,95 €

ISBN 978-1-4020-5875-2


P. Eberhard, University of Stuttgart, Germany (Ed.)

IUTAM Symposium on Multiscale

Problems in Multibody System

Contacts

Proceedings of the IUTAM Symposium held in Stuttgart, Ger-

many, February 20–23, 2006

The investigation of multiscale problems in multi-body system contacts is a most interesting and time-ly topic which has been the subject of intensive re-search for more than one decade. While many ques-tions have been answered and the mechanicallysound description and simulation is increasinglyapplied in practical engineering problems, this IU-TAM Symposium facilitated discussions between re-searchers active in the field and enabled us to reviewthe state-of-the-art and to identify for the years tocome the hot topics which require further efforts. Itwas especially useful to bring together scientists fromclosely related but traditionally distinct fields suchas multibody system contact, molecular dynamics, fi-nite element contact, collision detection or the math-ematics of unilateral contact. It is observed that theonce clear boundaries between these fields are blur-ring and an exchange of ideas will accelerate the de-velopment with mutual benefits. Multiscale prob-lems occur very naturally in contact [..]

Features

State of the art overview of this particular field Pointsto future areas of development

Fields of interest

Vibration, Dynamical Systems, Control; Com-putational Mathematics and Numerical Analysis;Appl.Mathematics/Computational Methods of Engi-neering; Numerical and Computational Methods inEngineering; Theoretical and Applied Mechanics

Target groups

Researchers and Practitioners in Mechanical Engi-neering, Chemical Engineering, Physics, Mathemat-ics, Materials Science and Computer Science

Type of publication

Proceedings

Due April 2007

2007. XX, 338 p. (IUTAM Bookseries, Vol. 1) Hardcover

104,95 €

ISBN 978-1-4020-5980-3

H.A. Eiselt, University of New Brunswick, Fredericton, NB, Canada;

C.-L. Sandblom, Dalhousie University, Halifax, NS, Canada

Linear Programming and its

Applications

This book presents a unified treatment of linear pro-gramming. Without sacrificing mathematical rig-or, the main emphasis of the book is on models andapplications. The most important classes of prob-lems are surveyed and presented by means of mathematical formulations, followed by solutionmethods and a discussion of a variety of "what-if"scenarios. Non-simplex based solution methods andnewer developments such as interior point methodsare covered along with a variety of approaches thatincorporate multiple objectives in the model.

Features

Extended chapter on all major areas of applicationsDetailed managerial sensitivity analyses With a smalland fully formulated case study and an extendedchapter that deals with models that incorporate mul-tiple objectives Reader will be able to understand themajor phases of the process: the formulation, solu-tion, and the interpretation of the results

Contents

Linear Algebra.- Computational Complexity.- Appli-cations.- The Simplex Method.- Duality.- Extensionsof the Simplex Method.- Postoptimality Analyses.-Non-Simplex Based Solution Methods.- Problem Re-formulations.- Multiobjective Programming.

Fields of interest

Operation Research/Decision Theory; OperationsResearch, Mathematical Programming; EngineeringEconomics, Organization, Logistics, Marketing

Target groups

Researchers, graduate students

Type of publication

Monograph

Due August 2007

2007. XIV, 380 p. 71 illus. Hardcover

99,95 €

ISBN 978-3-540-73670-7

R.H. Enns, Simon Fraser University, Burnaby, BC, Canada; G.C.

McGuire, University College of the Fraser Valley, Abbotsford, BC,

Canada

Computer Algebra Recipes

An Advanced Guide to Scientific Modeling

Modern computer algebra systems are revolution-izing the teaching and learning of mathematicallyintensive subjects in science and engineering, en-abling students to explore increasingly complex andcomputationally intensive models that provide an-alytic solutions, animated numerical solutions, andcomplex two- and three-dimensional graphic dis-plays. This self-contained text benefits from a spiralstructure that regularly revisits the general topics ofgraphics, symbolic computation, and numerical sim-ulation with increasing intricacy at each turn. Thetext is built around a large number of computer alge-bra worksheets or "recipes" that have been designedusing MAPLE to provide tools for problem solvingand to stimulate critical thinking. No prior knowl-edge of MAPLE is assumed. All relevant commandsare introduced on a need-to-know basis and are in-dexed for easy reference. Each recipe is associatedwith a scientific model or method and an interestingor amusing story designed to both entertain and [..]

Features

Contains computer algebra worksheets or "recipes"designed using MAPLE; no prior knowledge ofMAPLE is assumed; all recipes are included on theCD-ROM enclosed with the book Effective compu-tational science text for third- and fourth-year un-dergraduates in mathematics, physics, engineering,game theory, and physical chemistry Examples andproblems provide basis for both self-study and on-line course

Contents

Preface.- Introduction.- The Appetizers.- Phase-Plane Portraits.- The Entrees.- Linear ODE Mod-els.- Nonlinear ODE Models.- Linear PDE Models.-Soliton Models.- The Desserts.- Diagnostic Tools forNonlinear Dynamics.- Simulating ODE and PDEModels.

Fields of interest

Mathematical Modeling and Industrial Mathe-matics; Symbolic and Algebraic Manipulation;Appl.Mathematics/Computational Methods of Engi-neering; Mathematical Methods in Physics; Mathe-matical Software; Simulation and Modeling

Target groups

Advanced undergraduates in mathematics, physics,engineering, physical chemistry and game theory

Type of publication


Due March 2007

Based on "Computer Algebra Recipes: A Gourmet's Guide to the

Mathematical Models of Science", Springer New York, 2001

2007. X, 374 p. With CD-ROM. Softcover

46,95 €

ISBN 978-0-387-25768-6


V. Eyert, University of Augsburg, Germany

The Augmented Spherical Wave

Method

A Comprehensive Treatment

The Augmented Spherical Wave (ASW) method isone of the most powerful approaches for handlingthe requirements of finite basis sets in DFT calcula-tions. While it is particularly suited for the calcula-tion of the electronic, magnetic, and optical prop-erties of solid-state materials, recent developmentsallow application, in addition, to the elastic prop-erties and phonon spectra. The book addresses allthose who want to learn about methods for electron-ic structure calculations and the ASW method, inparticular.

Contents

Introduction.- The Standard ASW Method.- Enve-lope Functions and Structure Constants.- The Plane-Wave Based Full-Potential ASW Method.- Details ofthe Standard ASW Method.- Details of the EnvelopeFunctions.- Details of the Plane-Wave Based Full-Potential ASW Method.- Brillouin Integration.- In-dex.

Fields of interest

Condensed Matter; Numerical and ComputationalMethods; Theoretical and Computational Chemistry

Target groups

Graduate students, lecturers, researchers

Type of publication

Monograph

Due July 2007

2007. X, 320 p. Also available online. (Lecture Notes in Physics,

Vol. 719) Hardcover

69,95 €

ISBN 978-3-540-71006-6

L.D. Faddeev, Russian Academy of Sciences, St. Petersburg, Rus-

sia; L. Takhtajan, Stony Brook University, Stony Brook, New York,

USA

Hamiltonian Methods in the Theory

of Solitons

The main characteristic of this now classic exposi-tion of the inverse scattering method and its applica-tions to soliton theory is its consistent Hamiltonianapproach to the theory. The nonlinear Schrödingerequation, rather than the (more usual) KdV equa-tion, is considered as a main example. The inves-tigation of this equation forms the first part of thebook. The second part is devoted to such fundamen-tal models as the sine-Gordon equation, Heisenbergequation, Toda lattice, etc, the classification of in-tegrable models and the methods for constructingtheir solutions.

Contents

Introduction.- The Nonlinear Schrödinger Equation(NS Model): Zero Curvature Representation. TheRiemann Problem. The Hamiltonian Formulation.-General Theory of Integrable Evolution Equations:Basic Examples and Their General Properties. Fun-damental Continuous Models. Fundamental Modelson the Lattice. Lie-Algebraic Approach to the Classi-fication and Analysis of Integrable Models.- Conclu-sion.- List of Symbols.- Index.

Fields of interest

Mathematical and Computational Physics; PartialDifferential Equations; Integral Equations; GlobalAnalysis and Analysis on Manifolds

Target groups

Researchers and graduate students in mathematicaland theoretical physics

Type of publication

Monograph

Due May 2007

Originally published in the "Springer Series in Soviet Mathemat-

ics"

2007. IX, 592 p. (Classics in Mathematics) Softcover

39,95 €

ISBN 978-3-540-69843-2


M.A.R. Ferreira, University of Missouri, Columbia, MO, USA; H.K.H.

Lee, University of California, Santa Cruz, CA, USA

Multiscale Modeling

A Bayesian Perspective

A wide variety of processes occur on multiple scales,either naturally or as a consequence of measurement.This book contains methodology for the analysisof data that arise from such multiscale processes.The book brings together a number of recent devel-opments and makes them accessible to a wider au-dience. Taking a Bayesian approach allows for fullaccounting of uncertainty, and also addresses thedelicate issue of uncertainty at multiple scales. TheBayesian approach also facilitates the use of knowl-edge from prior experience or data, and these meth-ods can handle different amounts of prior knowledgeat different scales, as often occurs in practice.

Features

Stochastic models for processes that live and canpossibly be observed at different levels of resolutionThe models in this book allow different degrees ofsmoothness of the stochastic processes at the dif-ferent levels of resolution The statistical analysis ofmultiscale models based on the Bayesian paradigmin the book allow a full amount of uncertainty Con-tains implicit multiscale models implementable with[..]

Contents

Introduction.-Models for Spatial Data.-IllustrativeExample.-Convolution Methods.-Wavelet Meth-ods.-Overview on Explicit Multiscale Models.-Gaus-sian Multiscale Models on Trees.-Hidden MarkovModels on Trees.-Mass Balanced Multiscale Mod-els on Trees.-Multiscale Random Fields.-Multi-scale Time Series.-Change of Support Models.-Im-plicit Computationally-Linked Model Overview.-Metropolis-Coupled Methods.-Genetic Algo-rithms.-Soil Permeability Estimation.-Single PhotonEmission Computed Tomography Example.-Conclu-sions.

Fields of interest

Statistical Theory and Methods; Simulation andModeling; Image Processing and Computer Vision;Quantitative Geography; Econometrics

Target groups

Practitioners, researchers, graduate students

Type of publication

Monograph

Due August 2007

2007. XII, 245 p. (Springer Series in Statistics) Hardcover

62,95 €

ISBN 978-0-387-70897-3

J. Ferreirós, Universidad de Sevilla, Spain

Labyrinth of Thought

A History of Set Theory and Its Role in Modern Mathematics

Labyrinth of Thought discusses the emergence anddevelopment of set theory and the set-theoretic ap-proach to mathematics during the period 1850-1940.Rather than focusing on the pivotal figure of GeorgCantor, it analyzes his work and the emergence oftransfinite set theory within the broader context ofthe rise of modern mathematics. The text has a tri-partite structure. Part 1, The Emergence of Sets with-in Mathematics, surveys the initial motivations for amathematical notion of a set within several branchesof the discipline (geometry, algebra, algebraic num-ber theory, real and complex analysis), emphasizingthe role played by Riemann in fostering accep-tance of the set-theoretic approach. In Part 2,Entering the Labyrinth, attention turns to the earli-est theories of sets, their evolution, and their recep-tion by the mathematical community; prominentare the epoch-making contributions of Cantor andDedekind, and the complex interactions betweenthem. Part 3, In Search of an Axiom System, [..]

Contents

Institutional and Intellectual Contexts in GermanMathematics, 1800-1870.- A New Fundamental No-tion: Riemann's Manifolds.- Dedekind and the Set-theoretical Approach to Algebra.- The Real NumberSystem.- Origins of the Theory of Point-Sets.- TheNotion of Cardinality and the Continuum Hypoth-esis.- Sets and Maps as a Foundation for Mathemat-ics.- The Transfinite Ordinals and Cantor's MatureTheory.- Diffusion, Crisis, and Bifurcation: 1890 to1914.- Logic and Type Theory in the Interwar Peri-od.- Consolidation of Axiomatic Set Theory.

Fields of interest

History of Mathematics

Target groups

Graduate students and researchers in History of Sci-ence

Type of publication

Monograph

Due August 2007

Originally published as volume 23 in the series: Science Net-

works. Historical Studies

2007. XXV, 466 p. 7 illus. Softcover

59,90 €

ISBN 978-3-7643-8349-7

R. Findeisen, University of Stuttgart, Germany; F. Allgöwer, Uni-

versity of Stuttgart, Germany; L. Biegler, Carnegie Mellon Univer-

sity, Pittsburgh, PA, USA (Eds.)

Assessment and Future Directions

of Nonlinear Model Predictive

Control

Features

Results of the international workshop entitled "As-sesmentand Future Directions of Nonlinear ModelPredictive Control” (NMPC´05), which was held inFreudenstadt-Lauterbad, Germany on August 26-30,2005

Contents

Foundations and History of NMPC.- Theoretical As-pects of NMPC.- Numerical Aspects of NMPC.- Ro-bustness, Robust Design, and Uncertainty.- State Es-timation and Output Feedback.- Industrial Perspec-tive on NMPC.- NMPC and Process Control.- NM-PC for Fast Systems.- Novel Applications of NMPC.-Distributed NMPC, Obstacle Avoidance, and PathPlanning.

Fields of interest


Target groups


Type of publication

Monograph

Due July 2007



139,95 €

ISBN 978-3-540-72698-2


M. Fischetti, University of Padova, Italy; D.P. Williamson, Cornell

University, Ithaca, NY, USA (Eds.)

Integer Programming and

Combinatorial Optimization

12th International IPCO Conference, Ithaca, NY, USA, June

25-27, 2007, Proceedings

This book constitutes the refereed proceedings ofthe 12th International Conference on Integer Pro-gramming and Combinatorial Optimization, IPCO2007, held in Ithaca, NY, USA, in June 2007. The 36revised full papers presented were carefully reviewedand selected from over 120 submissions. Among thetopics addressed are approximation algorithms, algo-rithmic game theory, branch and bound algorithms,branch and cut algorithms, computational biology,computational complexity, computational geom-etry, cutting plane algorithms, diophantine equa-tions, geometry of numbers, graph and network al-gorithms, integer programming, matroids and sub-modular functions, on-line algorithms and competi-tive analysis, polyhedral combinatorics, randomizedalgorithms, random graphs, scheduling theory andscheduling algorithms, as well as semidefinite pro-grams.

Fields of interest

Discrete Mathematics in Computer Science; Nu-meric Computing; Algorithm Analysis and ProblemComplexity; Computer Graphics

Target groups


Type of publication

Proceedings

Due June 2007

2007. IX, 500 p. Also available online. (Lecture Notes in Computer

Science, Vol. 4513) Softcover

64,00 €

ISBN 978-3-540-72791-0

M.E. Flatté, University of Iowa, Iowa City, IA, USA; I. Tifrea, Babes-

Bolyai University, Cluj Napoca, Romania (Eds.)

Manipulating Quantum Coherence

in Solid State Systems

The NATO Advanced Study Institute “Manipulat-ing Quantum Coherence in Solid State Systems”,in Cluj-Napoca, Romania, August 29-September 9,2005, presented a fundamental introduction to sol-id-state approaches to achieving quantum computa-tion. This proceedings volume describes the proper-ties of quantum coherence in semiconductor spin-based systems and the behavior of quantum coher-ence in superconducting systems. Semiconductorspin-based approaches to quantum computationhave made tremendous advances in the past sever-al years. Coherent populations of spins can be ori-ented, manipulated and detected experimentally.Rapid progress has been made towards performingthe same tasks on individual spins (nuclear, ionic,or electronic) with all-electrical means. Supercon-ducting approaches to quantum computation havedemonstrated single qubits based on charge eigen-states as well as flux eigenstates. These topics havebeen presented in a pedagogical fashion by leadingresearchers in the fields of [..]

Features

Presents both semiconducting and superconduct-ing approaches to manipulating quantum coherencein same book Emphasizes the material and physicalproperties of semiconductors and superconductorsrelevant for their application to quantum coherencemanipulation Consolidates state of the art informa-tion in this area only otherwise available in journalarticles

Contents

From the contents Preface. List of Participants. Semi-conductor Spintronics for Quantum Computation.-Many-body effects in spin-polarized transport.- Nu-clear spin dynamics in semiconductor nanostruc-tures.- Spin Coherence in Semiconductors.- Quan-tum computing with superconductors I: Architec-tures.- Superconducting qubits II: Decoherence.- In-dex.

Fields of interest

Quantum Computing, Information and Physics;Condensed Matter; Solid State Physics and Spec-troscopy; Superconductivity, Superfluidity, Quan-tum Fluids; Quantum Optics, Quantum Electronics,Nonlinear Optics

Target groups

Graduate students, postdocs, and senior researchersof solid state quantum coherence observation andcontrol, quantum information processing and quan-tum computation, spintronics, and superconductivi-ty

Type of publication

Proceedings

Due May 2007

2007. XII, 236 p. (NATO Science Series II: Mathematics, Physics

and Chemistry, Vol. 244) Hardcover

119,95 €

ISBN 978-1-4020-6134-9

M.E. Flatté, University of Iowa, Iowa City, IA, USA; I. Tifrea, Babes-

Bolyai University, Cluj Napoca, Romania (Eds.)

Manipulating Quantum Coherence

in Solid State Systems

The NATO Advanced Study Institute "Manipulat-ing Quantum Coherence in Solid State Systems",in Cluj-Napoca, Romania, August 29-September 9,2005, presented a fundamental introduction to sol-id-state approaches to achieving quantum computa-tion. This proceedings volume describes the proper-ties of quantum coherence in semiconductor spin-based systems and the behavior of quantum coher-ence in superconducting systems. Semiconductorspin-based approaches to quantum computationhave made tremendous advances in the past sever-al years. Coherent populations of spins can be ori-ented, manipulated and detected experimentally.Rapid progress has been made towards performingthe same tasks on individual spins (nuclear, ionic,or electronic) with all-electrical means. Supercon-ducting approaches to quantum computation havedemonstrated single qubits based on charge eigen-states as well as flux eigenstates. These topics havebeen presented in a pedagogical fashion by leadingresearchers in the fields of [..]

Features

Presents both semiconducting and superconduct-ing approaches to manipulating quantum coherencein same book Emphasizes the material and physicalproperties of semiconductors and superconductorsrelevant for their application to quantum coherencemanipulation Consolidates state-of-the-art informa-tion in this area only otherwise available in journalarticles

Contents

From the contents Preface. List of Participants. Semi-conductor Spintronics for Quantum Computation.-Many-body effects in spin-polarized transport.- Nu-clear spin dynamics in semiconductor nanostruc-tures.-Spin Coherence in Semiconductors.- Quan-tum computing with superconductors I: Architec-tures.- Superconducting qubits II: Decoherence.- In-dex.

Fields of interest

Quantum Computing, Information and Physics;Condensed Matter; Solid State Physics and Spec-troscopy; Superconductivity, Superfluidity, Quan-tum Fluids; Quantum Optics, Quantum Electronics,Nonlinear Optics

Target groups

Graduate students, postdocs, and senior researchersof solid state quantum coherence observation andcontrol, quantum information processing and quan-tum computation, spintronics, and superconductivi-ty

Type of publication

Proceedings

Due May 2007

2007. XII, 236 p. (NATO Science Series II: Mathematics, Physics

and Chemistry, Vol. 244) Softcover

49,95 €

ISBN 978-1-4020-6135-6


J.-P. Fouque, University of California, Santa Barbara, CA, USA; J.

Garnier, Université de Paris VII, Paris, France; G. Papanicolaou,

Stanford University, Stanford, CA, USA; K. Solna, University of Cal-

ifornia at Irvine, CA, USA

Wave Propagation and Time

Reversal in Randomly Layered

Media

Wave propagation in random media is an interdis-ciplinary field that has emerged from the need inphysics and engineering to model and analyze waveenergy transport in complex environments. Thisbook gives a systematic and self-contained presenta-tion of wave propagation in randomly layered mediausing the asymptotic theory of ordinary differentialequations with random coefficients. The first half ofthe book gives a detailed treatment of wave reflectionand transmission in one-dimensional random me-dia, after introducing gradually the tools from partialdifferential equations and probability theory that areneeded for the analysis. The second half of the bookpresents wave propagation in three-dimensional ran-domly layered media along with several applications,primarily involving time reversal. Many new resultsare presented here for the first time.

Features

Sections of notes where the authors give referencesand additional comments on the various results pre-sented are included at the end of each chapter

Contents

Introduction and Overview of the Book.- Waves inHomogeneous Media.- Waves in Random Media.-Waves in Layered Media.- Effective Properties ofRandomly Layered Media.- Scaling Limits.- Asymp-totics for Random Ordinary Differential Equations.-Transmission of Energy Through a Slab of Ran-dom Medium.- Wave-Front Propagation.- Statis-tics of Incoherent Waves.- Time Reversal in Reflec-tion and Spectral Estimation.- Applications to De-tection.- Time Reversal in Transmission.- Scatteringby a Three-Dimensional Randomly Layered Medi-um.- Time Reversal in a Three-Dimensional LayeredMedium.- [..]

Fields of interest

Applications of Mathematics; Probability Theoryand Stochastic Processes; Fluids; Partial DifferentialEquations; Acoustics; Appl.Mathematics/Computa-tional Methods of Engineering

Target groups

Graduate students and researchers

Type of publication

Monograph

Due August 2007

2007. XX, 612 p. (Stochastic Modelling and Applied Probability,

Vol. 56) Hardcover

54,95 €

ISBN 978-0-387-30890-6

J. Friberg, Chalmers University of Technology, Gothenburg, Swe-

den

A Remarkable Collection of

Babylonian Mathematical Texts

Manuscripts in the Schøyen Collection: Cuneiform Texts I

The book analyzes the mathematical tablets from theprivate collection of Martin Schoyen. While sometablets are familiar, many contain fascinating newmaterial. The author translates their mathematicalcontent, compares it with previously known materi-al, then evaluates the period of the tablet and its pur-pose. This allows the author to provide new insightsinto the interpretation of some classical tablets, asfor example Plimpton 322. What makes this book sounique is the light being shed on Babylonian math-ematics, including new evidence of Babylonian fa-miliarity with sophisticated mathematical objects,such as the knowledge of the three dimensionalPythagorean equation and the geometry of the icosa-hedron. Another very important finding is the use ofthe zero notation in novel contexts and periods. Thebook is carefully written and organized, with usefuldrawings and pictures of the most interesting tablets.The book will be of interest to assyriologists, mathe-maticians, and historians of science.

Features

Author is a leading authority on Babylonian mathe-matics Includes analysis of tablets which have neverbeen studied before Provides new insight into Baby-lonian understanding of sophisticated mathematicalobjects More than 300 figures, many in color

Contents

Acknowledgements.- Introduction.- Documentationof Provenance.- Abbreviations.- How to Get a BetterUnderstanding of Mathematical Cuneiform Texts.-Old Babylonian Arithmetical Hand Tablets.- OldBabylonian Arithmetical Table Texts.- Old Baby-lonian Metrological Table Texts.- MesopotamianWeight Stones.- Neo-Sumerian Field Maps (Ur III).-An Old Sumerian Metro-Mathematical Table Text(Early Dynastic IIIa).- Old Babylonian Hand Tabletswith Practical Mathematics.- Old Babylonian HandTablets with Geometric Exercises.- The Beginningand the End of the Sumerian King List.- Three Old[..]

Fields of interest


Target groups

Mathematicians, historians of Science, assyriologists

Type of publication

Monograph

Due July 2007

2007. XX, 533 p. (Sources and Studies in the History of Mathe-

matics and Physical Sciences) Hardcover

99,95 €

ISBN 978-0-387-34543-7

E.M. Friedlander, Northwestern University, Evanston, IL, USA; D.R.

Grayson, University of Illinois, Urbana, USA (Eds.)

Handbook of K-Theory

This handbook offers a compilation of techniquesand results in K-theory. These two volumes consistof chapters, each of which is dedicated to a specifictopic and is written by a leading expert. Many chap-ters present historical background; some present pre-viously unpublished results, whereas some presentthe first expository account of a topic; many discussfuture directions as well as open problems. The over-all intent of this handbook is to offer the interestedreader an exposition of our current state of knowl-edge as well as an implicit blueprint for future re-search. This handbook should be especially useful forstudents wishing to obtain an overview of K-theoryand for mathematicians interested in pursuing chal-lenges in this rapidly expanding field.

Contents

Part I: Foundations and Computations: Deloopingsin Algebraic K- theory.- The Motivic Spectral Se-quence.- K-theory of truncated polynomial algebras.-Bott Periodicity in Topological, Algebraic and Her-mitian K-theory.- Algebraic K-theory of Rings andIntegers in Local and Global Fields. Part II: K-theo-ry and Algebraic Geometry: Motivic Cohomology,K-theory and topological cyclic Homology.- K-theo-ry and Intersection Theory.- Regulators.- AlgebraicK-theory, Algebraic Cycles and Arithmetic Geome-try.- Mixed Motives. Part III: K-theory and Geomet-ric Topology: Witt Groups.- K-theory and [..]

Fields of interest

K-Theory; Algebraic Geometry; Algebraic Topology;Number Theory

Type of publication

Handbook

Due March 2007

2005. eReference

109,95 €

ISBN 978-3-540-27855-9


M.C. Fu, University of Maryland, College Park, MD, USA; R.A. Jar-

row, Cornell University, Ithaca, NY, USA; J.-Y.J. Yen, Vanderbilt

University, Nashville, TN, USA; R.J. Elliott, University of Calgary,

AB, Canada (Eds.)

Advances in Mathematical Finance

This self-contained volume brings together a collec-tion of chapters by some of the most distinguishedresearchers and practitioners in the field of mathe-matical finance and financial engineering. Presentingstate-of-the-art developments in theory and prac-tice, the work is a valuable resource for gradu-ate students, researchers, and practitioners in math-ematical finance and financial engineering. Contributors: H. Albrecher, D.C. Brody, P. Carr, E.Eberlein, R.J. Elliott, M.C. Fu, H. Geman, M. Hei-dari, A. Hirsa, L.P. Hughston, R.A. Jarrow, X. Jin,W. Kluge, S.A. Ladoucette, A. Macrina, D.B. Madan,F. Milne, M. Musiela, P. Protter, W. Schoutens, E.Seneta, K. Shimbo, R. Sircar, J. van der Hoek, M.Yor,T. Zariphopoulou

Features

Includes contributions from some of the most dis-tinguished researchers and practitioners in the fieldsof mathematical finance and financial engineeringOffers state-of-the-art developments in theory andpractice Real-world applications to fixed-incomemodels, credit risk models, CDO pricing, tax rebates,tax arbitrage, and tax equilibrium Ideal for a broadaudience of graduate students, researchers, and [..]

Contents

Preface.- Career Highlights and List of Publications /Dilip B. Madan.- Part I. Variance-Gamma and Relat-ed Stochastic Processes.- The Early Years of the Vari-ance-Gamma Process.- Variance-Gamma and MonteCarlo.- Some Remarkable Properties of Gamma Pro-cesses.- A Note About Selberg's Integrals in Relationwith the Beta-Gamma Algebra.- Itô Formulas forFractional Brownian Motion.- Part II. Asset and Op-tion Pricing.- A Tutorial on Zero Volatility and Op-tion Adjusted Spreads.- Asset Price Bubbles in Com-plete Markets.- Taxation and Transaction Costs in aGeneral Equilibrium Asset Economy.- [..]

Fields of interest

Quantitative Finance; Applications of Mathematics;Appl.Mathematics/Computational Methods of En-gineering; Game Theory/Mathematical Methods; Fi-nancial Economics

Target groups

Graduate students, researchers, and practitionersin mathematical finance, financial engineering, andcomputational finance

Type of publication

Reference work

Due August 2007

2007. XXVIII, 340 p. 41 illus. (Applied and Numerical Harmonic

Analysis) Hardcover

64,90 €

ISBN 978-0-8176-4544-1

K.-H. Förster, TU Berlin, Germany; P. Jonas, TU Berlin, Germany; H.

Langer, TU Vienna, Austria; C. Trunk, TU Berlin, Germany (Eds.)

Operator Theory in Inner Product

Spaces

This volume contains contributions written by par-ticipants of the 4th Workshop on Operator Theoryin Krein Spaces and Applications, which was held atthe TU Berlin, Germany, December 17 to 19, 2004.The workshop covered topics from spectral, pertur-bation and extension theory of linear operators andrelations in inner product spaces, including spectralanalysis of differential operators, the theory of gen-eralized Nevanlinna functions and related classes offunctions, spectral theory of matrix polynomials, andproblems from scattering theory.

Features

Unique collection of reviewed contributions fo-cussing on a variety of topics around Krein spacesand applications

Contents

Preface.- Contributions by T.Ya. Azizov, J. Behrndt,V. Derkach, A. Fleige, K.-H. Förster, S. Hassi, P.Jonas, M. Kaltenbäck, I. Karabash, A. Kostenko, H.Langer, A. Luger, C. Mehl, B. Nagy, H. Neidhardt,V. Pivovarchik, J. Rehberg, L. Rodman, A. Sandovi-ci, L.I. Soukhotcheva, H. de Snoo, C. Trunk, H. Win-kler, H. Woracek.

Fields of interest

Operator Theory; Functions of a Complex Variable;Functional Analysis

Target groups

Postgraduates and researchers in Operator Theoryand Functional Analysis

Type of publication

Proceedings

Due March 2007

2007. VI, 240 p. (Operator Theory: Advances and Applications,

Vol. 175) Hardcover

129,00 €

ISBN 978-3-7643-8269-8

D. Gabbay, King's College London, UK; S. Goncharov, Sobolev

Institute of Mathematics, Novosibirsk, Russia; M. Zakharyaschev,

King's College London, UK (Eds.)

Mathematical Problems from

Applied Logic II

Logics for the XXIst Century

"Mathematical Problems from Applied Logic II"presents chapters from selected, world renowned, lo-gicians. Important topics of logic are discussed fromthe point of view of their further development inlight of requirements arising from their successfulapplication in areas such as Computer Science andAI language. Fields covered include: logic of prov-ability, applications of computability theory to bi-ology, psychology, physics, chemistry, economics,and other basic sciences; computability theory andcomputable models; logic and space-time geome-try; hybrid systems; logic and region-based theory ofspace. Contributors include: Sergei Artemov, USA;John Case, USA; Sergei Goncharov, Russia, JuditX. Madarász, István Németi, and Gergely, Székely,Hungary, Anil Nerode, USA and Dimiter Vakarelov,Bulgaria.

Contents

On Two Models of Provability: Provability Logic,Logic of Proofs.- Directions for Computability The-ory Beyond Pure Mathematical: Motivations, Di-rections, Progress So Far And How One Might GoFrom Here.- Computability and Computable Mod-els: Preliminaries, Bounds for Computable Models,Structure Complexity of Computable Models, Iso-morphism Problem, Classes of Computable Modelsand Index Sets.- First-order Logic Foundation of Rel-ativity Theories: Introduction (Logic and SpacetimeGeometry), More Concrete Introduction (Founda-tion of Spacetime), Intriguing Features of GR Space-times [..]

Fields of interest

Mathematical Logic and Foundations

Target groups

Academic mathematicians and logicians

Type of publication

Contributed volume

Due March 2007

2007. XXIX, 351 p. (International Mathematical Series, Vol. 5)

Hardcover

139,95 €

ISBN 978-0-387-69244-9


V.G. Ganzha, TU München, Germany; E.W. Mayr, TU München,

Germany; E.V. Vorozhtsov, Russian Academy of Sciences, Novosi-

birsk, Russia (Eds.)

Computer Algebra in Scientific

Computing

10th International Workshop, CASC 2007, Bonn, Germany,

September 16-20, 2007, Proceedings

This book constitutes the refereed proceedings of the10th International Workshop on Computer Algebrain Scientific Computing, CASC 2007, held in Bonn,Germany, in September 2007. The volume is dedicat-ed to Professor Vladimir P. Gerdt on the occasion ofhis 60th birthday. The 35 revised full papers present-ed were carefully reviewed and selected from numer-ous submissions for inclusion in the book. The pa-pers cover not only various expanding applicationsof computer algebra to scientific computing but al-so the computer algebra systems themselves and theCA algorithms. Topics addressed are studies in poly-nomial and matrix algebra, quantifier elimination,and Gröbner bases, as well as stability investigationof both differential equations and difference methodsfor them. Several papers are devoted to the applica-tion of computer algebra methods and algorithms tothe derivation of new mathematical models in biolo-gy and in mathematical physics.

Fields of interest

Symbolic and Algebraic Manipulation; Program-ming Techniques; Discrete Mathematics in Comput-er Science; Algorithm Analysis and Problem Com-plexity; Math Applications in Computer Science; Al-gorithms

Target groups


Type of publication

Proceedings

Due September 2007

2007. XIII, 460 p. (Lecture Notes in Computer Science, Vol. 4770)

Softcover

60,00 €

ISBN 978-3-540-75186-1

H. Gardner, Australian National University, Canberra, NSW, Aus-

tralia; G. Manduchi, Consorzio RFX, Padova, Italy

Design Patterns for e-Science

This book is for readers with backgrounds in scienceengineering who have experience in computer pro-gramming but who lack a training in software en-gineering. The treatment is centered around a casestudy in software development in "e-Science'' usingthe Java™ programming language. A graphical front-end for browsing and visualising scientific wave-form data is progressively refactored using impor-tant design patterns for object-oriented software.The final product is ready for porting onto the Grid.Object-oriented design patterns are taught in a re-al-world context which is relevant to computation-al science. A comprehensive CD of the case study ac-companies the book.

Features

A first textbook on computer science aspect of CSEand e-science

Fields of interest

Computational Science and Engineering;Appl.Mathematics/Computational Methods of Engi-neering; Atoms and Molecules in Strong Fields, Plas-ma Physics; Software Engineering/Programming andOperating Systems

Target groups

Computational scientists

Type of publication


Due April 2007

2007. XX, 382 p. 60 illus. With CD-ROM. (Texts in Computational

Science and Engineering, Vol. 4) Hardcover

49,95 €

ISBN 978-3-540-68088-8

P.L. Garrido, University of Granada,Spain; J. Marro, University of

Granada, Spain; J.J. Torres, University of Granada, Spain (Eds.)

Cooperative Behavior in Neural

Systems

Ninth Granada Lectures

All papers have been peer reviewed. This volumeoriginated at the 9th Granada Seminar, which washeld at the "Facultad de Ciencias" of the Universityof Granada, Spain, September 11-15, 2006, and con-tains the main lectures as well as a selection of con-tributed papers presented at the conference. This isthe ninth Volume of a series of Granada Lectures.One interesting aspect of this meeting is the oppor-tunity given to the young scientists to present theirresults and to discuss their problems with leadingspecialists. The 9th Granada Seminar covered thecomputational and mathematical modeling of co-operative behavior in neural systems. Each topic iscomprehensively described, and some practical ex-ercises are proposed. The "Granada Lectures" are aseries of books that help introduce the beginner tonovel advances in statistical physics and to the cre-ative use of computers in scientific research, as wellas to serve as a work of reference for teachers, stu-dents, and researchers.

Fields of interest

Mathematical and Computational Physics; Statisti-cal Physics; Mathematical Methods in Physics; Bio-physics

Target groups

Teachers, students, and researchers in physics, bio-physics and quantitative neurobiology, statisticalphysics, theoretical and computational neuroscience

Type of publication

Proceedings

Due April 2007

2007. IX, 268 p. (Mathematical and Statistical Phsyics, Vol. 887)

Hardcover

84,70 €

ISBN 978-0-7354-0390-1


H.P. Geering, ETH Zurich, Switzerland

Optimal Control with Engineering

Applications

In this book, the reader is introduced to a variety ofproblem statements in classical optimal control, inoptimal control problems with non-scalar perfor-mance criteria, and in optimal estimation and filter-ing. The optimal control theory is based on ratherbasic methods in the calculus of variation, in partic-ular on the Lagrange multiplier methods. The theo-ry is explained in a very transparent way. Many en-gineering optimal control problems are solved com-pletely. Each chapter contains a small collection ofadditional statements of optimal control problems.Their solutions are sketched in the appendix.

Features

Hands-on experience in using the theory with a vari-ety of examples Compact text Didactically optimizedway of exposition of the calculus of variation Easy toread for non-mathematicians, too Rather large num-ber of completely solved real-world optimal controlproblems Includes non-scalar performance criteriaand optimal filtering

Contents

Introduction.- Optimal Control.- Optimal StateFeedback Control.- Differenital Games.- Solutions toExercises.- References.- Index.

Fields of interest

Numerical and Computational Methods in Engi-neering; Systems Theory, Control; Control Engineer-ing

Target groups

Mechanical and electrical engineers, graduate andundergraduate mathematicians

Type of publication

Monograph

Due March 2007

2007. IX, 134 p. 12 illus. Softcover

49,95 €

ISBN 978-3-540-69437-3

R. Gelca, Texas Tech University, Lubbock, TX, USA; T. Andreescu,

University of Texas at Dallas, Richardson, TX, USA

Putnam and Beyond

Putnam and Beyond takes the reader on a journeythrough the world of college mathematics, focus-ing on some of the most important concepts and re-sults in the theories of polynomials, linear algebra,real analysis in one and several variables, differentialequations, coordinate geometry, trigonometry, ele-mentary number theory, combinatorics, and proba-bility. Using the W.L. Putnam Mathematical Compe-tition for undergraduates as an inspiring symbol tobuild an appropriate math background for graduatestudies in pure or applied mathematics, the reader iseased into transitioning from problem-solving at thehigh school level to the university and beyond, thatis, to mathematical research. Key features of Put-nam and Beyond * Preliminary material provides anoverview of common methods of proof: argumentby contradiction, mathematical induction, pigeon-hole principle, ordered sets, and invariants. * Eachchapter systematically presents a single subject with-in which problems are clustered in every section [..]

Features

Undergraduate textbook with an emphasis on prob-lem-solving Structured topically to assist undergrad-uates in gaining proficiency across a broad spec-trum of subjects: algebra, real analysis, geometryand trigonometry, number theory, combinatoricsand probabilities Fills a gap in the market for prob-lem-based texts that specifically target the Putnamexams and undergraduate mathematics majors

Contents

Preface.- Methods.- Algebra.- Real Analysis.- Geom-etry and Trigonometry.- Number Theory.- Combi-natorics and Probabilities.- Solutions.- Definitionsand Notations.

Fields of interest

Mathematics, general; Algebra; Analysis; Geometry;Number Theory; Combinatorics

Target groups

Undergraduate mathematics majors, Putnam examcontestants, Olympiad veterans

Type of publication


Due September 2007

2007. XVI, 798 p. 50 illus. Softcover

54,95 €

ISBN 978-0-387-25765-5

J.E. Gentle, George Mason University, Fairfax, VA, USA

Matrix Algebra

Theory, Computations, and Applications in Statistics

Matrix algebra is one of the most important areas ofmathematics for data analysis and for statistical the-ory. The first part of this book presents the relevantaspects of the theory of matrix algebra for applica-tions in statistics. This part begins with the funda-mental concepts of vectors and vector spaces, nextcovers the basic algebraic properties of matrices,then describes the analytic properties of vectors andmatrices in the multivariate calculus, and finally dis-cusses operations on matrices in solutions of linearsystems and in eigenanalysis. This part is essentiallyself-contained. The second part of the book beginswith a consideration of various types of matrices en-countered in statistics, such as projection matricesand positive definite matrices, and describes the spe-cial properties of those matrices. The second part al-so describes some of the many applications of matrixtheory in statistics, including linear models, multi-variate analysis, and stochastic processes. The briefcoverage [..]

Features

This book's emphasis is on the areas of matrix anal-ysis that are important for statisticians Addressescomputational issues, places more emphasis on ap-plications that existing texts and is written in an in-formal style

Contents

Basic Vector/Matrix Structure and Notation.-Vec-tors and Vector Spaces.- Basic Properties of Matri-ces.- Vector/Matrix Derivatives and Integrals.- Ma-trix Tranformations and Factorizations.- Solutionof Linear Systems.- Evaluation of Eigenvalues andEigenvectors.- Special Matrices and Operations Use-ful in Modeling and Data Analysis.- Selected Appli-cations in Statistics.- Numerical Methods.- Numeri-cal Linear Algebra.- Software for Numerical LinearAlgebra.

Fields of interest

Statistical Theory and Methods; Numeric Comput-ing; Probability and Statistics in Computer Science;Numerical and Computational Methods in Engi-neering; Computational Mathematics and NumericalAnalysis

Target groups

Students, researchers

Type of publication


Due August 2007

2007. XXII, 528 p. (Springer Texts in Statistics) Hardcover

69,95 €

ISBN 978-0-387-70872-0


R. Gerver

Writing Math Research Papers

A Guide for Students and Instructors

Students often need help learning to write well. Thisbook serves as a student text and a resource for im-plementing a mathematics research program. Thebook details how to write a research paper, from pre-writing to presenting the paper. It provides interest-ing research topics, a bibliography of periodicals andproblem-solving books and information about math-ematics contests.

Features

Illustrations entertain while instructing Concisereadable format

Contents

Introduction; Chapter 1: Mathematics: ShoutingQuestions and Whispering Answers; Chapter 2:Problem Solving: A Prerequisite for Research; Chap-ter 3: Writing Mathematics; Chapter 4: The MathAnnotation Project; Chapter 5: Conjectures, The-orems, and Proofs; Chapter 6: Finding a Topic;Chapter 7: Reading and Keeping a Research Jour-nal; Chapter 8: Components of Your Research Pa-per; Chapter 9: Oral Presentations; Chapter 10: AfterYour First Research Paper; Appendix A: Resources;Appendix B: Sample Pages from Students' ResearchPapers; Appendix C: A Guide for Instructors andAdministrators; [..]

Fields of interest

Applications of Mathematics

Target groups

Math students

Type of publication

Educational supplement

Due May 2007

2007. 240 p. Softcover

16,95 €

ISBN 978-1-55953-652-3

M. Giaquinta, Scuola Normale Superiore, Pisa, Italy; G. Modica,

Università degli Studi di Firenze, Italy

Mathematical Analysis

Linear and Metric Structures and Continuity

This self-contained work on linear and metric struc-tures focuses on studying continuity and its applica-tions to finite- and infinite-dimensional spaces. Thebook is divided into three parts. The first part intro-duces the basic ideas of linear and metric spaces, in-cluding the Jordan canonical form of matrices andthe spectral theorem for self-adjoint and normal op-erators. The second part examines the role of generaltopology in the context of metric spaces and includesthe notions of homotopy and degree. The third andfinal part is a discussion on Banach spaces of contin-uous functions, Hilbert spaces and the spectral theo-ry of compact operators. Mathematical Analysis: Lin-ear and Metric Structures and Continuity motivatesthe study of linear and metric structures with exam-ples, observations, exercises, and illustrations. It maybe used in the classroom setting or for self-study byadvanced undergraduate and graduate students andas a valuable reference for researchers in mathemat-ics, physics, and [..]

Features

Examines linear structures, the topology of metricspaces, and continuity in infinite dimensions, withdetailed coverage at the graduate level Includes ap-plications to geometry and differential equations,numerous beautiful illustrations, examples, exercis-es, historical notes, and comprehensive index Maybe used in graduate seminars and courses or as a ref-erence text by mathematicians, physicists, and engi-neers

Contents

Preface.- Part I: Linear Algebra.- Vectors, Matri-ces and Linear Systems.- Vector Spaces and LinearMaps.- Euclidean and Hermitian Spaces.- Self-Ad-joint Operators.- Part II: Metrics and Topology.-Metric Spaces and Continuous Functions.- Com-pactness and Connectedness.- Curves.- Some Top-ics from the Topology of Rn.- Part III.- Continuity inInfinite-Dimensional Spaces.- Spaces of Continuousfunctions, Banach Spaces and Abstract Equations.-Hilbert Spaces, Dirichlet’s Principle and Linear com-pact Operators.- Some Applications.- A. Mathemati-cians and Other Scientists.- B. Bibliographical [..]

Fields of interest

Analysis; Ordinary Differential Equations; Topology;Functional Analysis; Real Functions; Applications ofMathematics

Target groups

Advanced undergraduates, graduate students, re-searchers

Type of publication


Due July 2007


119,00 €

ISBN 978-0-8176-4374-4

M. Giaquinta, Scuola Normale Superiore, Pisa, Italy; G. Modica,

Università degli Studi di Firenze, Italy

Mathematical Analysis

Linear and Metric Structures and Continuity

This self-contained work on linear and metric struc-tures focuses on studying continuity and its applica-tions to finite- and infinite-dimensional spaces. Thebook is divided into three parts. The first part intro-duces the basic ideas of linear and metric spaces, in-cluding the Jordan canonical form of matrices andthe spectral theorem for self-adjoint and normal op-erators. The second part examines the role of generaltopology in the context of metric spaces and includesthe notions of homotopy and degree. The third andfinal part is a discussion on Banach spaces of contin-uous functions, Hilbert spaces and the spectral theo-ry of compact operators. Mathematical Analysis: Lin-ear and Metric Structures and Continuity motivatesthe study of linear and metric structures with exam-ples, observations, exercises, and illustrations. It maybe used in the classroom setting or for self-study byadvanced undergraduate and graduate students andas a valuable reference for researchers in mathemat-ics, physics, and [..]

Features

Examines linear structures, the topology of metricspaces, and continuity in infinite dimensions, withdetailed coverage at the graduate level Includes ap-plications to geometry and differential equations,numerous beautiful illustrations, examples, exercis-es, historical notes, and comprehensive index Maybe used in graduate seminars and courses or as a ref-erence text by mathematicians, physicists, and engi-neers

Contents

Preface.- Part I: Linear Algebra.- Vectors, Matri-ces and Linear Systems.- Vector Spaces and LinearMaps.- Euclidean and Hermitian Spaces.- Self-Ad-joint Operators.- Part II: Metrics and Topology.-Metric Spaces and Continuous Functions.- Com-pactness and Connectedness.- Curves.- Some Top-ics from the Topology of Rn.- Part III.- Continuity inInfinite-Dimensional Spaces.- Spaces of Continuousfunctions, Banach Spaces and Abstract Equations.-Hilbert Spaces, Dirichlet’s Principle and Linear com-pact Operators.- Some Applications.- A. Mathemati-cians and Other Scientists.- B. Bibliographical [..]

Fields of interest

Analysis; Ordinary Differential Equations; Topology;Functional Analysis; Real Functions; Applications ofMathematics

Target groups

Advanced undergraduates, graduate students, re-searchers

Type of publication


Due September 2007

2007. XVIII, 470 p. 128 illus. Softcover

58,00 €

ISBN 978-0-8176-4375-1


P. Giesl, University of Technology München, Garching b.

München, Germany

Construction of Global Lyapunov

Functions Using Radial Basis

Functions

The basin of attraction of an equilibrium of an ordi-nary differential equation can be determined using aLyapunov function. A new method to construct sucha Lyapunov function using radial basis functions ispresented in this volume intended for researchersand advanced students from both dynamical systemsand radial basis functions. Besides an introduction toboth areas and a detailed description of the method,it contains error estimates and many examples.

Contents

1.Introduction.- 2.Lyapunov Functions.- 3.RadialBasis Functions.- 4.Construction of Lyapunov Func-tions.- 5.Global Determination of the Basin of At-traction.- 6.Application of the Method: Examples.-Appendices: A.Distributions and Fourier Transfor-mation.- B.Data.- Notations.- References.

Fields of interest

Dynamical Systems and Ergodic Theory; Approx-imations and Expansions; Ordinary DifferentialEquations

Target groups


Type of publication

Monograph

Due April 2007

2007. VIII, 166 p. (Lecture Notes in Mathematics, Vol. 1904) Soft-

cover

29,95 €

ISBN 978-3-540-69907-1

I.I. Gikhman, A.V. Skorokhod

The Theory of Stochastic Processes

III

From the Reviews: "Gihman and Skorohod havedone an excellent job of presenting the theory in itspresent state of rich imperfection."D.W. Stroock inBulletin of the American Mathematical Society, 1980"To call this work encyclopedic would not give anaccurate picture of its content and style. Some partsread like a textbook, but others are more technicaland contain relatively new results. ... The expositionis robust and explicit, as one has come to expect ofthe Russian tradition of mathematical writing. Theset when completed will be an invaluable source ofinformation and reference in this ever-expandingfield."K.L. Chung in American Scientist, 1977 "Thedominant impression is of the authors' mastery oftheir material, and of their confident insight into itsunderlying structure."J.F.C. Kingman in Bulletin ofthe London Mathematical Society, 1977

Contents

Martingales and Stochastic Integrals.- Stochastic Dif-ferential Equations.- Stochastic Differential Equa-tions for Continuous Processes and ContinuousMarkov Processes in Rm.- Remarks.- Bibliography.-Appendix: Corrections to Volumes I and II.- SubjectIndex.

Fields of interest


Target groups

Researchers and graduate students in stochastic pro-cesses

Type of publication

Monograph

Due March 2007

Originally published as Vol. 232 in the series: Grundlehren der

mathematischen Wissenschaften

2007. IX, 387 p. (Classics in Mathematics) Softcover

39,95 €

ISBN 978-3-540-49940-4

R.S. Govindaraju, Purdue University, West Lafayette, IN, USA; B.S.

Das, Indian Institute of Technology, Kharagpur, India

Moment Analysis for Subsurface

Hydrologic Applications

This book deals with the concept of moments, andhow they find application in subsurface hydrolog-ic problems-particularly those dealing with solutetransport. This book will be very valuable to re-searchers who are beginning to learn about momentanalysis, and will also be of interest to advanced re-searchers as well. Both temporal and spatial mo-ments are dealt with in some detail for a wide vari-ety of problems. Several examples using experimen-tal data, both from laboratory columns and field ex-periments, are provided to give the readers a clearidea about the scope of this method. Apart from con-ventional uses of moments for solute transport prob-lems, this book contains chapters dealing with use ofmoments in interval computing, vapour phase trans-port applications, transfer functions to subsurfacetile drains, and construction of breakthrough curvesfrom knowledge of moments.

Features

A detailed exposure to moment analysis Derivationsof theoretical results Applications using laboratoryand field data Investigate the role of moments in var-ious problems

Contents

1 Random Variables and Generating Functions.- 2Laplace Transforms for Solute Transport Models.-3 Fourier Transforms for Solute Transport Models.-4 Transfer Function Approaches.- 5 Temporal Mo-ment Analysis for Solute Transport in Porous Me-dia.- 6 Spatial Moment Analysis for Solute Transportin Porous Media.- 7 Moment Analysis for VolatileCompounds.- 8 Moment Generating DifferentialEquations.- 9 Moment Analysis for Compounds Un-dergoing Sequential Decay Chain Reactions.- 10 Ap-plications of Moments in Interval Computing Meth-ods.- 11 Moment Analysis for Subsurface StormFlow.- 12 [..]

Fields of interest

Hydrogeology; Partial Differential Equations; Math.Applications in Geosciences

Target groups

Researchers and practitioners in subsurface contami-nation and solute transport, researchers interested inlearning about method of moments

Type of publication

Monograph

Due June 2007

2007. X, 292 p. (Water Science and Technology Library, Vol. 61)

Hardcover

99,95 €

ISBN 978-1-4020-5751-9


M. Griebel, University of Bonn, Germany; S. Knapek, TWS

Partners, Munich, Germany; G. Zumbusch, Friedrich-Schiller-

Universität, Jena, Germany

Numerical Simulation in Molecular

Dynamics

Numerics, Algorithms, Parallelization, Applications

Particle models play an important role in many ap-plications in physics, chemistry and biology. Theycan be studied on the computer with the help ofmolecular dynamics simulations. This book presentsin detail both the necessary numerical methods andtechniques (linked-cell method, SPME-method, treecodes, multipole technique) and the theoretical back-ground and foundations. It illustrates the aspectsmodelling, discretization, algorithms and their par-allel implementation with MPI on computer sys-tems with distributed memory. Furthermore, de-tailed explanations are given to the differentsteps of numerical simulation, and code examplesare provided. With the description of the algorithmsand the presentation of the results of various sim-ulations from the areas material science, nanotech-nology, biochemistry and astrophysics, the reader ofthis book will be able to write his own programs formolecular dynamics step by step and to run success-ful experiments.

Features

One of the first textbooks in the highly-relevant topic(material science, molecular modelling, drug design,nanotechnology)

Fields of interest

Computational Science and Engineering; Nu-merical Analysis; Math. Applications in Chem-istry; Mathematical and Computational Physics;Appl.Mathematics/Computational Methods of Engi-neering

Target groups

Graduate students and researchers in computationalscience, biosciences, chemistry, engineering, physicsand pharmacology

Type of publication


Due August 2007

2007. XI, 470 p. 180 illus., 43 in color. (Texts in Computational


39,95 €

ISBN 978-3-540-68094-9

P.A. Grillet, Tulane University, New Orleans, LA, USA

Abstract Algebra

About the first edition: “The text is geared to theneeds of the beginning graduate student, cover-ing with complete, well-written proofs the usualmajor branches of groups, rings, fields, and mod-ules...[n]one of the material one expects in a booklike this is missing, and the level of detail is appro-priate for its intended audience.” (Alberto Delgado,MathSciNet) “This text promotes the conceptual un-derstanding of algebra as a whole, and that with greatmethodological mastery. Although the presentationis predominantly abstract...it nevertheless featuresa careful selection of important examples, togeth-er with a remarkably detailed and strategically skill-ful elaboration of the more sophisticated, abstracttheories.” (Werner Kleinert, Zentralblatt) For thenew edition, the author has completely rewritten thetext, reorganized many of the sections, and even cutor shortened material which is no longer essential.He has added a chapter on Ext and Tor, as well as abit of topology.

Features

Unique collection of nonstandard topics Clearlywritten, succinctly presented Contains numerous in-terrelations between the various topics discussed Ac-cessible discussion of the basic material, combinedwith a thorough treatment of many advanced topics

Contents

Preface.- Groups.- Structure of Groups.- Rings.-Field Extensions.- Galois Theory.- Fields with Or-ders or Valuations.- Commutative Rings.- Modules.-Semisimple Rings and Modules.- Projectives and In-jectives.- Constructions.- Ext and Tor.- Algebras.-Lattices.- Universal Algebra.-Categories.- Appendix.-References.- Further Readings.- Index.

Fields of interest

Algebra; Associative Rings and Algebras; GroupTheory and Generalizations

Target groups

Graduate and advanced undergraduate students

Type of publication


Due August 2007

Originally published by Wiley, 1999

2007. XII, 669 p. (Graduate Texts in Mathematics, Vol. 242) Hard-

cover

54,95 €

ISBN 978-0-387-71567-4

O. Gron, Oslo Engineering College, Oslo, Norway; S. Hervik, Dal-

housie University, Halifax, NS, Canada

Einstein's General Theory of

Relativity

With Modern Applications in Cosmology

The book introduces the general theory of relativi-ty and includes applications to cosmology. The book contains a thorough introduction totensor calculus and curved manifolds. Af-ter the necessary mathematical tools are intro-duced, we give a thorough presentation of the the-ory of relativity. Also, some advanced top-ics not previously covered by textbooks; e.g. Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included.The book contains a large number of new exercisesand examples, each with separate headings. The reader will get an updated introduction to gen-eral relativity including the most recent develop-ments in cosmology.

Features

The book has over 200 pages with modern applica-tions of the theory mostly in cosmology Several ofthese topics have been developed recently and arenot present in other textbooks Standard model ofcosmology discussed in detail as well as alternativesto the standard FRW cosmology Modern powerfultechniques and tools some of which are indespensi-ble for the modern researcher discussed Techniquesthen used on [..]

Contents

Newtonian Physics and Special Relativity.- Relativ-ity Principals and Gravitation.- The Special Theoryof Relativity.- The Mathematics of the General The-ory of Relativity.- Vectors, Tensors, and Forms.- Ba-sis Vector Fields and Metric Tensor.- Non-inertialReference Frames.- Differentiation, Connections andIntegration.- Curvature.- Einstein's Field Equations.-Einstein's Field Equations.- The Linear Field Ap-proximation.- The Schwarzschild Solution and BlackHoles.- Cosmology.- Homogeneous and IsotropicUniverse Models.- Universe Models with VacuumEnergy.- An Anisotropic Universe.- [..]

Fields of interest

Relativity and Cosmology; Mathematical Methods inPhysics; Mathematics, general

Target groups

Graduate students, undergraduate students in an in-troductory course in General Relativity and in Cos-mology, researchers

Type of publication


Due May 2007

2007. XX, 538 p. Hardcover

84,95 €

ISBN 978-0-387-69199-2


P.M. Gruber, Vienna University of Technology, Vienna, Austria


Convex and Discrete Geometry is an area of mathe-matics situated between analysis, geometry and dis-crete mathematics with numerous relations to otherareas. The book gives an overview of major results,methods and ideas of convex and discrete geometryand its applications. Besides being a graduate-levelintroduction to the field, it is a practical source of in-formation and orientation for convex geometers. Itshould also be of use to people working in other ar-eas of mathematics and in the applied fields.

Contents

Preface.- Convex Functions.- Convex Bodies.- Con-vex Polytopes.- Geometry of Numbers and Aspectsof Discrete Geometry.- References.- Index.

Fields of interest


Target groups

Mathematicians (geometers, analysts, number the-orists), economists (linear and non-linear optimiza-tion, convex analysis), computer scientists (compu-tational geometry, geometric algorithms, patternrecognition), physicists and chemists (crystallogra-phers, isoperimetric inequalities of math. physics)

Type of publication

Monograph

Due June 2007

2007. XIII, 578 p. (Grundlehren der mathematischen Wis-

senschaften, Vol. 336) Hardcover

89,95 €

ISBN 978-3-540-71132-2

D. Grundel, Eglin AFB, FL, USA; R. Murphey, Eglin AFG, FL, USA; P.

Pardalos, University of Florida, Gainesville, FL, USA; O. Prokopyev,

University of Pittsburgh, PA, USA (Eds.)

Cooperative Systems

Control and Optimization

Cooperative systems are pervasive in a multitude ofenvironments and at all levels. We find them at themicroscopic biological level up to complex ecologicalstructures. They are found in single organisms andthey exist in large sociological organizations. Coop-erative systems can be found in machine applicationsand in situations involving man and machine work-ing together. They have some common elements: 1)more than one entity, 2) the entities have behaviorsthat influence the decision space, 3) entities share atleast one common objective, and 4) entities share in-formation whether actively or passively. Because ofthe clearly important role cooperative systems playin areas such as military sciences, biology, communi-cations, robotics, and economics, just to name a few,the study of cooperative systems has intensified. Thisbook provides an insight in the basic understandingof cooperative systems as well as in theory, modeling,and applications of cooperative control, optimizationand related problems.

Fields of interest

Operation Research/Decision Theory; Calculus ofVariations and Optimal Control; Optimization; Op-erations Research, Mathematical Programming; En-gineering, general

Target groups

Scientists

Type of publication

Monograph

Due March 2007

2007. IX, 403 p. 173 illus. (Lecture Notes in Economics and Math-

ematical Systems, Vol. 588) Softcover

79,95 €

ISBN 978-3-540-48270-3

A. Gustafsson, University of Karlstad, Sweden; A. Herrmann, Uni-

versity of St. Gallen, Switzerland; F. Huber, University of Mainz,

Germany (Eds.)

Conjoint Measurement

Methods and Applications

The book covers all recent developments in ConjointAnalysis. Leading scientists present theory and ap-plications of this technique. In short, the followingmodels, techniques, and applications are discussed:normative models that maximize return, extensionof choice-based conjoint simulations, latent class, hi-erarchical Bayes modelling, new choice simulators,normative models for representing competitive ac-tions and reactions (based on game theory), appli-cations in diverse areas, computation of monetaryequivalents of part worth, share/return optimisa-tion (including Pareto frontier analysis), coupling ofconjoint analysis with the perceptual and preferencemapping of choice simulator results.

Features

Latest developments in conjoint analysis which is themost important multivariate technique in marketingCovers all hot topics in the field

Contents

P.E. Green: Foreword.- Conjoint Analysis as an In-strument of Market Research Practice.- Measure-ment of Price Effects with Conjoint Analysis.- Mar-ket Simulation Using a Probabilistic Ideal VectorModel for Conjoint Data.- A Comparison of Con-joint Measurement with Self-Explicated Approach-es.- Non-geometric Plackett-Burman Designs inConjoint Analysis.- On the Influence of the Evalu-ation Methods in Conjoint Design.- EvolutionaryConjoint.- The Value of Extent-of-Preference Infor-mation in Choice-Based Conjoint Analysis.- A Mul-ti-trait Multi-method Validity Test of Partworth Es-timates.- [..]

Fields of interest

Marketing; Statistics for Business/Economics/Mathe-matical Finance/Insurance

Target groups

Researchers, graduate students, practitioners

Type of publication

Monograph

Due September 2007

2007. VII, 373 p. 39 illus. Hardcover

99,95 €

ISBN 978-3-540-71403-3


G. Gutin, University of London, UK; A.P. Punnen, University of

New Brunswick, St. John, NB, Canada (Eds.)

The Traveling Salesman Problem

and Its Variations

This volume, which contains chapters written byreputable researchers, provides the state of the artin theory and algorithms for the traveling salesmanproblem (TSP). The book covers all important ar-eas of study on TSP, including polyhedral theory forsymmetric and asymmetric TSP, branch and bound,and branch and cut algorithms, probabilistic aspectsof TSP, thorough computational analysis of heuris-tic and metaheuristic algorithms, theoretical analysisof approximation algorithms, including the emerg-ing area of domination analysis of algorithms, dis-cussion of TSP software and variations of TSP suchas bottleneck TSP, generalized TSP, prize collectingTSP, maximizing TSP, orienteering problem, etc.The book is appropriate as a reference work or as amain or supplemental textbook in graduate and se-nior undergraduate courses and projects.

Features

Provides the state of the art in theory and algorithmsfor the traveling salesman problem (TSP) Written byreputable researchers, covering all important areas ofstudy on TSP Intended for researchers, practitioners,and academicians in mathematics, computer science,and operations research Appropriate as a referencework or as a main or supplemental textbook in grad-uate and senior undergraduate courses and projects

Fields of interest

Discrete Mathematics in Computer Science; Opti-mization; Operation Research/Decision Theory; Al-gorithms

Target groups

Researchers, practitioners, and academicians inmathematics, computer science, and operations re-search

Type of publication

Contributed volume

Due May 2007

2007. XVIII, 830 p. (Combinatorial Optimization, Vol. 12) Softcov-

er

69,95 €

ISBN 978-0-387-44459-8

A. Handwerk, Hamburg, Germany; H. Willems, Amsterdam, The

Netherlands

Wolfgang Doeblin

A Mathematician Rediscovered

Wolfgang Doeblin, one of the great probabilists ofthe 20th century, was already widely known in the1950s for his fundamental contributions to the theo-ry of Markov chains. His coupling method becamea key tool in later developments at the interface ofprobability and statistical mechanics. But the fullmeasure of his mathematical stature became appar-ent only in 2000 when the sealed envelope contain-ing his construction of diffusion processes in termsof a time change of Brownian motion was finallyopened, 60 years after it was sent to the Academy ofSciences in Paris. The film of Agnes Handwerk andHarrie Willems documents scientific and human as-pects of this amazing discovery and throws new lighton the startling circumstances of his death at the ageof 25. I recommend it in the strongest terms. HansFöllmer, Faculty of Mathematics, Humboldt Univer-sity, Berlin

Features

Well-done documentary of the famous mathemati-cian Wolfgang Doeblin

Fields of interest

History of Mathematics; Probability Theory andStochastic Processes; Mathematical and Computa-tional Physics

Target groups

Mathematicians, physicists, teachers, historians, stu-dents, school students, science-interested laymen

Type of publication

Biography

Due May 2007

2007. DVD-Video PAL. (Springer VideoMATH)

39,95 €

ISBN 978-3-540-71959-5

A. Handwerk, Hamburg, Germany; H. Willems, Amsterdam, The

Netherlands

Wolfgang Doeblin

A mathematician rediscovered

Wolfgang Doeblin, one of the great probabilists ofthe 20th century, was already widely known in the1950s for his fundamental contributions to the theo-ry of Markov chains. His coupling method becamea key tool in later developments at the interface ofprobability and statistical mechanics. But the fullmeasure of his mathematical stature became appar-ent only in 2000 when the sealed envelope contain-ing his construction of diffusion processes in termsof a time change of Brownian motion was finallyopened, 60 years after it was sent to the Academy ofSciences in Paris. The film of Agnes Handwerk andHarrie Willems documents scientific and human as-pects of this amazing discovery and throws new lighton the startling circumstances of his death at the ageof 25. I recommend it in the strongest terms. HansFöllmer, Faculty of Mathematics, Humboldt Univer-sity, Berlin

Features

well-done documentary of the famous mathemati-cian Wolfgang Doeblin

Fields of interest

History of Mathematics; Probability Theory andStochastic Processes; Mathematical and Computa-tional Physics

Target groups

Mathematicians, physicists, teachers, historians, stu-dents, school students, science-interested laymen.

Type of publication

Biography

Due June 2007

2007. DVD-Video NTSC. (Springer VideoMATH)

39,95 €

ISBN 978-3-540-71960-1


G. Hasle, SINTEF ICT, Oslo, Norway; K.-A. Lie, SINTEF ICT, Oslo,

Norway; E. Quak, SINTEF ICT, Oslo, Norway (Eds.)

Geometric Modelling, Numerical

Simulation, and Optimization:

Applied Mathematics at SINTEF

This edited volume addresses the importance ofmathematics for industry and society by presentinghighlights from contract research at the Departmentof Applied Mathematics at SINTEF, the largest inde-pendent research organization in Scandinavia. Ex-amples range from computer-aided geometric de-sign, via general purpose computing on graphicscards, to reservoir simulation for enhanced oil recov-ery. The book also discusses local wind predictionsto increase aviation safety, sustainable long-term for-est treatment, and optimization of natural gas val-ue chains. The contributions are written in a tutori-al style to provide material for educational purposes,such as a course or seminar on industrially relevantmathematics.

Contents

Geometrical Modelling.- Numerical Simulation.-Optimization.

Fields of interest

Mathematical Modeling and Industrial Mathematics;Computational Science and Engineering; Optimiza-tion; Math. Applications in Geosciences; Mathemat-ics of Computing; Appl.Mathematics/ComputationalMethods of Engineering

Target groups

Students, researchers and professionals in industri-al mathematics, computational/applied mathemat-ics, scientific computing, engineering, operations re-search, and computational science

Type of publication

Contributed volume

Due June 2007

2007. XI, 558 p. 162 illus., 59 in color. Hardcover

79,95 €

ISBN 978-3-540-68782-5

H. Hauser, University of Bergen, Norway; H. Hagen, Technische

Universität Kaiserslautern, Germany; H. Theisel, Universität Biele-

feld, Germany (Eds.)

Topology-based Methods in

Visualization

Enabling insight into large and complex datasets is aprevalent theme in visualization research for whichdifferent approaches are pursued. Topology-basedmethods are built on the idea of abstracting charac-teristic structures such as the topological skeletonfrom the data and to construct the visualizations ac-cordingly. There are currently new demands for andrenewed interest in topology-based visualization so-lutions. This book presents 13 peer-reviewed papersas written results from the 2005 workshop “Topol-ogy-Based Methods in Visualization” that was ini-tiated to enable additional stimulation in this field.It contains a longer chapter dedicated to a survey ofthe state-of-the-art, as well as a great deal of origi-nal work by leading experts that has not been pub-lished before, spanning both theory and applications.It captures key concepts and novel ideas and servesas an overview of current trends in topology-basedvisualization research.

Features

Book on core topic in visualization

Contents

Topology-Based Flow Visualization, The State ofthe Art - Robert S. Laramee, Helwig Hauser, Lingx-iao Zhao, Frits H. Post.- Topology-guided Visual-ization of Constrained Vector Fields - Ronald Peik-ert, Filip Sadlo.- Scale-Space Tracking of CriticalPoints in 3D Vector Fields - Thomas Klein, ThomasErtl.- Feature Flow Fields in Out-of-Core Settings- Tino Weinkauf, Holger Theisel, Hans-ChristianHege, Hans-Peter Seidel.- Sreamline Predicates asFlow Topology Generalization - Tobias Salzbrunn,Gerik Scheuermann.- Topology-based versus Fea-ture-based Flow Analysis – Challenges and an [..]

Fields of interest

Visualization; Computer Graphics; Topology

Target groups

Graduate students, researchers and professionals invisualization, mathematics and computer science

Type of publication

Proceedings

Due June 2007

2007. X, 222 p. 157 illus., 54 in color. (Mathematics and Visualiza-

tion) Hardcover

79,95 €

ISBN 978-3-540-70822-3

M. Hazewinkel, CWI, Amsterdam, The Netherlands; N. Gubareni,

Technical University of Czestochowa, Poland; V.V. Kirichenko,

Kiev Taras Shevchenko University, Ukraine

Algebras, Rings and Modules

Volume 2

As a natural continuation of the first volume of Al-gebras, Rings and Modules, this book provides boththe classical aspects of the theory of groups and theirrepresentations as well as a general introduction tothe modern theory of representations including therepresentations of quivers and finite partially or-dered sets and their applications to finite dimen-sional algebras. Detailed attention is given to spe-cial classes of algebras and rings including Frobe-nius, quasi-Frobenius, right serial rings and tiled or-ders using the technique of quivers. The most impor-tant recent developments in the theory of these ringsare examined. The Cartan Determinant Conjectureand some properties of global dimensions of dif-ferent classes of rings are also given. The last chap-ters of this volume provide the theory of semiprimeNoetherian semiperfect and semidistributive rings.Of course, this book is mainly aimed at researchersin the theory of rings and algebras but graduate andpostgraduate students, especially [..]

Features

Contains almost all of the most important resultsin the theory of representations of posets, quiversand their applications to the representations of finitegroups and finite dimensional algebras, most of themare given with full proof Includes the most importantresults in the theory of quasi-Frobenius and rightserial rings In particular, gives the algorithm of theconstruction of a finite Frobenius ring [..]

Contents

Preface.- Groups and group representations.- Quiv-ers and their representations.- Representations ofposets and finite dimensional algebras.- Frobeniusalgebras and quasi-Frobenius rings.- Right serialrings.- Tiled orders over discrete valuation rings.-Gorenstein matrices.- Suggestions for further read-ing.- Index.- Name Index.

Fields of interest

Associative Rings and Algebras; Category Theory,Homological Algebra; Commutative Rings and Alge-bras; Linear and Multilinear Algebras, Matrix Theory

Target groups

Graduate students, postgraduate students, specialistsin the theory of algebras and rings, mathematiciansusing the algebraic technique.

Type of publication

Monograph

Due September 2007

2007. XII, 400 p. (Mathematics and Its Applications, Vol. 586)

Hardcover

119,95 €

ISBN 978-1-4020-5140-1


O. Hijab, Temple University, Philadelphia, PA, USA

Introduction to Calculus and

Classical Analysis

This text is intended for an honors calculus courseor for an introduction to analysis. Involving rigor-ous analysis, computational dexterity, and a breadthof applications, it is ideal for undergraduate majors.The book contains many remarkable features: - com-plete avoidance of /epsilon-/delta arguments by in-stead using sequences, - definition of the integral asthe area under the graph, while area is defined forEVERY subset of the plane, - complete avoidance ofcomplex numbers, - heavy emphasis on computa-tional problems, - applications from many parts ofanalysis, e.g. convex conjugates, Cantor set, contin-ued fractions, Bessel functions, the zeta functions,and many more, - 344 problems with solutions in theback of the book, - interesting applications, manyof which are not usually found in advanced calcu-lus books About the first edition: "The treatment,however, is far from standard, and many topics areincluded, especially in the last chapter, that are notavailable in other modern elementary [..]

Features

Interesting applications, many of which are not usu-ally found in advanced calculus books Class testedand contains a wide variety of challenging exercises

Contents

The Set of Real Numbers.- Continuity.- Differentia-tion.- Integration.- Applications.- Solutions.- Refer-ences.- Index.

Fields of interest

Analysis; Real Functions

Target groups

Undergrad math students honors freshman

Type of publication


Due June 2007

2007. X, 3437p. (Undergraduate Texts in Mathematics) Hardcov-

er

46,95 €

ISBN 978-0-387-69315-6

M.J. Hirsch, Raytheon Inc., St. Petersburg, FL, USA; P.M. Pardalos,

University of Florida, Gainesvile, FL, USA; R. Murphey, University

of Florida, Eglin AFB, FL, USA; D. Grundel, University of Florida,

Eglin AFB, FL, USA (Eds.)

Advances in Cooperative Control

and Optimization

Proceedings of the 7th International Conference on Coopera-

tive Control and Optimization

Across the globe, the past several years have seen atremendous increase in the role of cooperative au-tonomous systems. The field of cooperative controland optimization has established itself as a part ofmany different scientific disciplines (military science,biology, communications, etc.). Nevertheless, coop-erating systems have continued to be extremely dif-ficult to model, analyze, and solve. Each year, the In-ternational Conference on Cooperative Control andOptimization (CCO) brings together top researchersfrom around the world to present new ideas, theo-ries, applications, and advances in the fields of au-tonomous agents, cooperative systems, control theo-ry, and optimization. The works in this volume area result of invited papers and selected presentationsat the Seventh Annual International Conferenceon Cooperative Control and Optimization, held inGainesville, Florida, January 31 – February 2, 2007.The works presented in this book are suitable for fac-ulty, graduate students, and [..]

Features

Proceedings of the 7th International Conferenceon Cooperative Control and Optimization held inGainesville, Florida, January 31- February 2, 2007Recent results in the growing field of cooperative au-tonomous systems

Contents

From the contents Locating RF Emitters with LargeUAV Teams.- Out-of-Order Sigma-Point KalmanFiltering for Target Localization using Cooperat-ing Unmanned Aerial Vehicles.- Multi-CumulantControl for Zero-Sum Differential Games: Per-formance-Measure Statistics and State-FeedbackParadigm.- Decentralized Cooperative Optimizationfor Multi-Criteria Decision Making.- SimultaneousLocalization and Planning for Cooperative Air Mu-nitions.- Second-Order Cone Programming (SOCP)Techniques for Coordinating Large-Scale RobotTeams in Polygonal Environments.- UAV Splay StateConfiguration for [..]

Fields of interest


Target groups


Type of publication

Monograph

Due September 2007

2007. IX, 423 p., Also available online. (Lecture Notes in Control


99,95 €

ISBN 978-3-540-74354-5

Y.-C. Ho, Harvard University, Cambridge, MA; Q.-C. Zhao, Ts-

inghua University, Beijing, China; Q.-S. Jia, Tsinghua University,

Beijing, China

Ordinal Optimization

Soft Optimization for Hard Problems

Performance evaluation of increasingly complex hu-man-made systems requires the use of simulationmodels. However, these systems are difficult to de-scribe and capture by succinct mathematical mod-els. Accepting the need for search-based methods asa complement to established analytical techniques,quickly narrowing the search for optimum perfor-mance (ordinal optimization) is more importantthan accurately estimating the values of system per-formance during the process of optimization (car-dinal optimization). The purpose of this book is toaddress the difficulties of the optimization of com-plex systems via simulation models or other compu-tation-intensive models involving possible stochasticeffects and discrete choices. This book will establishdistinct advantages of the "softer" ordinal approachfor search-based type problems, analyze its generalproperties, and show the many orders of magnitudeimprovement in computational efficiency that is pos-sible.

Features

The methodology of ordinal optimization has beenunder continuous development since 1992, resultingin a complete methodology and many success sto-ries roughly paralleling those of cardinal optimiza-tion Over 200 references to ordinal optimization inarchival journals First book to focus solely on ordinaloptimization methodology and its applications

Contents

Ordinal Optimization Fundamentals.- Proofs of Ex-ponential Convergence.- Universal Alignment Prob-ability Tables.- Complex Simulation Models.- Com-plex Deterministic Models.- Complex Determinis-tic Problems and Kolmorgorov Equivalence.- Vec-tor Ordinal Optmization.- Constrained Ordinal Op-timization.- Memory Limited Strategy Optimizationand Parallel Implementation.- Real World Applica-tion Examples.

Fields of interest

Discrete Mathematics in Computer Science; Calcu-lus of Variations and Optimal Control; Optimiza-tion; Operation Research/Decision Theory; Simula-tion and Modeling; Probability Theory and Stochas-tic Processes

Target groups

Graduate students, system engineers, operation re-searchers, complex system theorists, and the entireoptimization community

Type of publication


Due August 2007


69,95 €

ISBN 978-0-387-37232-7


A. Holt, University of Waikato, New Zealand

Network Performance Analysis

Using the J Programming Language

Network Calculus is a mathematical theory con-cerned with deriving performance bound networksand this book aims to show that it can provide use-ful methods for designing and engineering networks.Examples are implemented in J making the subjectmore accessible to those that, although have a math-ematical background, are not pure mathematicians.Basic and advanced concepts of J are introducedthroughout when required to illustrate different is-sues. Topics covering Network Calculus include widesense increasing functions, mini-plus algebra, con-volution and arrival, departure and services curves.Comprehensive examples in the application of Net-work Calculus are given, models for simulating net-work traffic and network systems are discussed andcongestion control is explored. This book bringsNetwork Calculus closer to the network profession-al and will equally appeal to postgraduates studyingnetwork performance by providing valuable analyti-cal tools and using J as a means of providing a practi-cal [..]

Features

Provides a bridge between math theory and the prac-tical use of computers in the field of network perfor-mance analysis Analytical tools of the topic are ex-plored and supported by examples in J throughoutPractical treatment of the subject, illustrated clearlyComprehensive treatment of Network Calculus - re-quiring only a background in Mathematics

Contents

Introduction.- Fundamentals of the J ProgrammingLanguage.- Programming in J.- Network Calculus.-Stochastic Processes and Statistical Methods.- Traf-fic Modeling and Simulation.- Chaotic Maps.- ATMQuality of Service.- Congestion Control.- Appendix:Scripts.- References.

Fields of interest

System Performance and Evaluation; Computation-al Mathematics and Numerical Analysis; SpecialPurpose and Application-Based Systems; Comput-er Communication Networks; Programming Lan-guages, Compilers, Interpreters

Target groups

Practitioners, graduates

Type of publication

Monograph

Due July 2007

2008. XVI, 216 p. 52 illus. Hardcover

74,95 €

ISBN 978-1-84628-822-7

A. Hora, Nagoya University, Japan; N. Obata, Tohoku University,

Sendai, Japan

Quantum Probability and Spectral

Analysis of Graphs

This is the first book to comprehensively cover thequantum probabilistic approach to spectral analysisof graphs. This approach has been developed by theauthors and has become an interesting research areain applied mathematics and physics. The book can beused as a concise introduction to quantum probabil-ity from an algebraic aspect. Here readers will learnseveral powerful methods and techniques of wide ap-plicability, which have been recently developed un-der the name of quantum probability. The exercis-es at the end of each chapter help to deepen under-standing. Among the topics discussed along the wayare: quantum probability and orthogonal polynomi-als; asymptotic spectral theory (quantum central lim-it theorems) for adjacency matrices; the method ofquantum decomposition; notions of independenceand structure of graphs; and asymptotic representa-tion theory of the symmetric groups.

Features

This is the first monograph written on the quantumprobability approach to spectral analysis of graphs, asubject initiated by the authors many years ago

Contents

Introduction.- Quantum Probability and OrthogonalPolynomials.- Adjacency Matrices.- Distance-Reg-ular Graphs.- Homogeneous Trees.- HammingGraphs.- Johnson Graphs.- Regular Graphs.- CombGraphs and Star Graphs.- The Symmetric Group andYoung Diagrams.- The Limit Shape of Young Dia-grams.- Central Limit Theorem for the PlancherelMeasures of the Symmetric Groups.- Deformation ofKerov's Central Limit Theorem.- References.- Index.

Fields of interest

Mathematical Methods in Physics; Algebra; Quan-tum Physics

Target groups

Researchers

Type of publication

Monograph

Due May 2007

2007. XVIII, 371 p. (Theoretical and Mathematical Physics) Hard-

cover

89,95 €

ISBN 978-3-540-48862-0

B. Hrúz, Slovak University of Technology, Bratislava, Slovakia;

M.C. Zhou, New Jersey Institute of Technology, Newark, NJ, USA

Modeling and Control of Discrete-

event Dynamic Systems

with Petri Nets and Other Tools

Discrete-event dynamic systems (DEDs) permeateour world, being of great importance in modernmanufacturing processes, transportation and var-ious forms of computer and communications net-working. “Modeling and Control of Discrete-eventDynamic Systems” begins with the mathematical ba-sics required for the study of DEDs and moves onto present various tools used in their modeling andcontrol. Among the instruments explained are manyforms of Petri net, the sequential function chart, statecharts, formal languages and max-plus algebra. In-dustrial examples illustrate the concepts and meth-ods discussed. Using them, readers will be able tounderstand DEDs quickly and to master the controlmethods to analyze and improve the performance oftheir systems. Final-year undergraduates and gradu-ates embarking on further courses in control, manu-facturing and process engineering, computer studiesor operations research will find this text an invalu-able aid in learning about the control of this impor-tant class of systems.

Features

Gives the student dedicated and in-depth coverageof the control of discrete-event systems using timed,stochastic, colored, fuzzy and adaptive Petri netsCoverage of widely-used Grafcet analysis tool Exam-ples, tutorial exercises and on-line solutions manualto make the subject simple to follow for students andto help tutors with class preparation

Contents

Basic Description of Discrete-event Dynamic Sys-tems.- Graphs in Modeling DEDS.- Formal Lan-guages.- Control of DEDS.- Finite Automata.- Re-active Flow Diagrams.- Petri Net Models of DEDS.-Properties of Petri Nets.- Grafcet.- Timed and High-level Petri Nets.- Statecharts.- DEDS Modeling, Con-trol and Programming.- Supervisory Control.- JobScheduling.

Fields of interest

Control Engineering; Simulation and Modeling; Sys-tems Theory, Control; Manufacturing, Machines,Tools; Vibration, Dynamical Systems, Control; Op-erations Research, Mathematical Programming

Target groups

Final-year undergraduates and early Ph.D. and Mas-ters students in control, manufacturing and processengineering or in operations research; academics andresearch staff working in control, computer, manu-facturing and process engineering; industry-basedcontrol, manufacturing and process engineers

Type of publication


Due August 2007

2007. XX, 341 p. (Advanced Textbooks in Control and Signal Pro-

cessing) Softcover

62,95 €

ISBN 978-1-84628-872-2


D.-S. Huang, Chinese Academy of Sciences, China; L. Heutte, Uni-

versity of Rouen, France; M. Loog, IT University of Copenhagen,

Denmark (Eds.)

Advanced Intelligent Computing

Theories and Applications.

With Aspects of Contemporary

Intelligent Computing Techniques

Third International Conference on Intelligent Computing, ICIC

2007, Qingdao, China, August 21-24, 2007, Proceedings

This book - in conjunction with the two volumesLNCS 4681 and LNAI 4682 - constitutes the refer-eed proceedings of the Third International Confer-ence on Intelligent Computing, ICIC 2007, held inQingdao, China in August 2007. The intelligent com-puting technology includes a range of techniquessuch as artificial intelligence, perceptual and patternrecognition, evolutionary and adaptive computing,informatics theories and applications, computation-al neuroscience and bioscience, soft computing, casebased and constrained reasoning, agents, networkingand computer supported co-operative working, hu-man computer interface issues. ICIC theme unifiesthe picture of contemporary intelligent computingtechniques as an integral concept that highlights thetrends in advanced computational intelligence andbridges theoretical research with applications.

Fields of interest

Data Mining and Knowledge Discovery; Simulationand Modeling; Artificial Intelligence (incl. Robotics);Pattern Recognition; Information Storage and Re-trieval

Target groups


Type of publication

Proceedings

Due August 2007

2007. XXVII, 1375 p. (Communications in Computer and Informa-

tion Science, Vol. 2) Softcover

123,00 €

ISBN 978-3-540-74281-4

W. Härdle, Humboldt-Universität zu Berlin, Germany; Z. Hlávka,

Charles University in Prague, Czech Republic

Multivariate Statistics:

Exercises and Solutions

The authors present tools and concepts of multivari-ate data analysis by means of exercises and their so-lutions. The first part is devoted to graphical tech-niques. The second part deals with multivariate ran-dom variables and presents the derivation of estima-tors and tests for various practical situations. Thelast part introduces a wide variety of exercises in ap-plied multivariate data analysis. The book demon-strates the application of simple calculus and basicmultivariate methods in real life situations. It con-tains altogether 234 solved exercises which can as-sist a university teacher in setting up a modern mul-tivariate analysis course. All computer-based exer-cises are available in the R or XploRe languages. Thecorresponding libraries are downloadable from theSpringer link web pages and from the author’s homepages.

Features

Considers techniques like Conjoint MeasurementAnalyses, Applications to Finance, Projection Pur-suit and SIR techniques that are not found typicallyin multivariate textbooks Data sets discussed in thebook can be downloaded and analyzed by every sta-tistical package Online version powered by XploReallows immediate calculation of formulae

Contents

Comparison of Batches.- A Short Excursion IntoMatrix Algebra.- Moving to Higher Dimensions.-Multivariate Distributions.- Theory of The Multinor-mal.- Theory of Estimation.- Hypothesis Testing.-Decomposition of Data Matrices by Factors.- Princi-pal Components Analysis.- Factor Analysis.- ClusterAnalysis.- Discriminate Analysis.- CorrespondenceAnalysis.- Canonical Correlation Analysis.- Multi-dimensional Scaling.- Conjoint Measurement Anal-ysis.- Applications in Finance.- Highly Interactive,Computationally Intensive Techniques.

Fields of interest

Statistical Theory and Methods; ComputationalMathematics and Numerical Analysis; Visualization;Data Mining and Knowledge Discovery; Numericaland Computational Methods in Engineering

Target groups

Students in Economics and Finance

Type of publication


Due August 2007

2007. XIII, 368 p. Softcover

42,95 €

ISBN 978-0-387-70784-6

L. Hörmander, University of Lund, Sweden

The Analysis of Linear Partial

Differential Operators III

Pseudo-Differential Operators

From the reviews: "Volumes III and IV complete L.Hörmander's treatise on linear partial differentialequations. They constitute the most complete andup-to-date account of this subject, by the author whohas dominated it and made the most significant con-tributions in the last decades.....It is a superb book,which must be present in every mathematical library,and an indispensable tool for all - young and old -interested in the theory of partial differential opera-tors." L. Boutet de Monvel in Bulletin of the Amer-ican Mathematical Society, 1987. "This treatise isoutstanding in every respect and must be countedamong the great books in mathematics. It is certainlyno easy reading (...) but a careful study is extremelyrewarding for its wealth of ideas and techniques andthe beauty of presentation." J. Brüning in ZentralblattMATH, 1987.

Contents

Second Order Elliptic Operators.- Pseudo-Differ-ential Operators.- Elliptic Operators on a CompactManifold without Boundary.- Boundary Problemsfor Elliptic Differential Operators.- Symplectic Ge-ometry.- Some Classes of (Micro-)Hypoelliptic Op-erators.- The Strictly Hyperbolic Cauchy Problem.-The Mixed Dirichlet-Cauchy Problem for SecondOrder Operators.- Appendix B: Some Spaces of Dis-tributions.- Appendix C: Some Tools from Differen-tial Geometry.- Bibliography.- Index.- Index of No-tation.

Fields of interest

Analysis

Target groups

Researchers and graduate students in stochastic pro-cesses

Type of publication

Monograph

Due March 2007

Originally published as volume 274 in the series: Grundlehren

der mathematischen Wissenschaften

2007. XII, 525 p. (Classics in Mathematics) Softcover

39,95 €

ISBN 978-3-540-49937-4


J. Høyrup, Roskilde University, Denmark

Jacopo da Firenze's Tractatus

Algorismi and Early Italian Abbacus

Culture

The book deals with a Tractatus algorismi written in1307 in Montpellier by a certain Jacopo da Firenze.This work is one of the earliest surviving "abbacus"treatises, that is, textbooks for the vernacular schoolfor merchant youth which sprung up in NorthernItaly in the later 13th century, and by far more order-ly than any of the extant predecessors. It is also thefirst to contain a presentation of algebra. The bookcontains an edition and an English translation of amanuscript from c. 1450 which is a meticulous copyof a meticulous copy; a critical edition of an abridgedversion of which two manuscripts exist, and an ex-tensive discussion of the contents of the treatise andits location within early abbacus culture – includ-ing evidence that this culture was transnational andprobably older in the Catalan-Provençal area than inItaly.

Features

Abbacus text in late medieval Italian with an Englishtranslation Extensive discussion of the contents andits location within early abbacus culture

Contents

Introduction.- The Vatican manuscript.- The abbacotradition.- The contents of Jacopo's Tractatus.- Alge-bra.- Jacopo's material and influence.- Edition andtranslation.- The text.- Bibliography.

Fields of interest


Target groups

Historians of mathematics; mathematicians and stu-dents interested in the history of elementary mathe-matics

Type of publication

Monograph

Due September 2007

2007. XII, 482 p. (Science Networks. Historical Studies, Vol. 34)

Hardcover

99,00 €

ISBN 978-3-7643-8390-9

T. Ideker, UC San Diego, CA, USA; V. Bafna, UC San Diego, CA, USA

(Eds.)

Systems Biology and

Computational Proteomics

Joint RECOMB 2006 Satellite Workshops on Systems Biology,

and on Computational Proteomics, San Diego, CA, USA, De-

cember 1-3, 2006, Revised Selected Papers

This book constitutes the thoroughly refereed post-proceedings of two joint RECOMB 2006 satelliteevents - the Second Annual Workshop on SystemsBiology, RSB 2006, and the First Biennial Workshopon Computational Proteomics, RCP 2006, held inSan Diego, CA, USA in December 2006. The 9 re-vised full papers presented were carefully reviewedand selected from around 50 submissions to bothevents. The papers of the Systems Biology meetingcover various aspects of systems biology, includingintegration of genome-wide microarray, proteomic,and metabolomic data, inference and comparison ofbiological networks, and model testing through de-sign of experiments. The Computational Proteomicsmeeting focused on on computational mass spec-trometry. The papers explore the use of this technol-ogy in various proteomic applications, such as pro-tein identification and quantification in specific cel-lular environments, structural genomics, networks ofprotein interaction, and post-translational modifica-tions.

Fields of interest

Algorithm Analysis and Problem Complexity; Dis-crete Mathematics in Computer Science; Data Struc-tures; Database Management; Computational Biolo-gy/Bioinformatics; Computer Appl. in Life Sciences

Target groups


Type of publication

Proceedings

Due July 2007



42,00 €

ISBN 978-3-540-73059-0

V.G. Ivancevic, Defence Science & Technology Organisation, Ade-

laide, Australia; T.T. Ivancevic

Complex Dynamics

Advanced System Dynamics in Complex Variables

Complex Dynamics: Advanced System Dynamics inComplex Variables is a graduate-level monograph-ic textbook. It has seven Chapters. The introducto-ry Chapter 1 explains ‘in plain English’ the objectiveof the book and provides the preliminaries in com-plex numbers and variables; it also gives a soft intro-duction to quantum dynamics. Chapter 2 developslow-dimensional dynamics in the complex plane,theoretical and computational, continuous- and dis-crete-time. Chapter 3 presents a modern introduc-tion to quantum dynamics, mainly following Dirac'snotation. Chapter 4 develops geometrical machin-ery of complex manifolds, essential for the furthertext. Chapter 5 develops high-dimensional complexcontinuous dynamics, which takes place on com-plex manifolds. Chapter 6 develops the formalismof complex path integrals, which extends the contin-uous dynamics to the general high-dimensional dy-namics, which can be both discrete and stochastic. Inthe last, Chapter 7, all previously developed methodsare employed to [..]

Features

Unique dynamics in complex variables Predictivepower of complex-valued geometry and topology inreal life Unified to complex systems of various na-tures Complex path integrals in physics, biophysics,psychophysics, sociophysics and econophysics

Contents

From the contents 1 Introduction. 2 Nonlinear Dy-namics in the Complex Plane. 3 Complex QuantumDynamics. 4 Complex Manifolds. 5 Nonlinear Dy-namics on Complex Manifolds. 6 Path Integrals andComplex Dynamics. 7 Quantum Gravity and Cos-mological Dynamics. References. Index.

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Systems Theory, Control; Math-ematical Methods in Physics; Appl.Mathematics/Computational Methods of Engineering; BiomedicalEngineering; Vibration, Dynamical Systems, Control

Target groups

Rigorous, one-semester course at the graduate lev-el in engineering, physics and mathematics; all re-searchers and students of complex systems withstrong mathematical background (in engineering,mathematics, physics, chemistry, biology, psycholo-gy, sociology, economics and medicine), both in in-dustry and academia

Type of publication

Monograph

Due September 2007

2007. XVI, 810 p. (Intelligent Systems, Control and Automation:


149,95 €

ISBN 978-1-4020-6411-1


V.G. Ivancevic, Land Operations Division Defence Science & Tech-

nology Organisation, Edinburgh, SA, Australia; T.T. Ivancevic, Uni-

versity of Adelaide, SA, Australia

Computational Mind: A Complex

Dynamics Perspective

Computational Mind: A Complex Dynamics Per-spective is a graduate–level monographic textbook inthe field of Computational Intelligence. It presentsa modern dynamical theory of the computationalmind, combining cognitive psychology, artificial andcomputational intelligence, and chaos theory withquantum consciousness and computation. The bookintroduces to human and computational mind, com-paring and contrasting main themes of cognitivepsychology, artificial and computational intelligence.It presents brain/mind dynamics from the chaos the-ory perspective, including sections on chaos in hu-man EEG, basics of nonlinear dynamics and chaos,techniques of chaos control, synchronization inchaotic systems and complexity in humanoid robots.This book presents modern theory of quantum com-putational mind, including sections on Dirac–Feyn-man quantum dynamics, quantum consciousness,and quantum computation using Josephson junc-tions. The book is designed as a one–semester coursefor computer scientists, [..]

Features

Introduces to human and computational mind, com-paring and contrasting main themes of cognitivepsychology, artificial and computational intelligencePresents a modern dynamical theory of the computa-tional mind, combining cognitive psychology, artifi-cial and computational intelligence, and chaos theorywith quantum consciousness and computation

Contents

Introduction: Human and Computational Mind.-Chaotic Brain/Mind Dynamics.- Quantum Compu-tational Mind.

Fields of interest

Appl.Mathematics/Computational Methods of En-gineering; Nonlinear Dynamics, Complex Systems,Chaos, Neural Networks; Artificial Intelligence (incl.Robotics); Neurosciences; Cognitive Psychology

Target groups

Researchers, engineers, graduate students in com-putational intelligence, computer science, cognitivepsychology and complexity

Type of publication

Monograph

Due June 2007

2007. XI, 691p. 108 illus. Also available online. (Studies in Com-

putational Intelligence, Vol. 60) Hardcover

149,95 €

ISBN 978-3-540-71465-1

J. Janas, IMPAN, Warsaw, Poland; P. Kurasov, Lund Institute of

Technology, Lund, Sweden; A. Laptev, Royal Institute of Technol-

ogy, Stockholm, Sweden; S. Naboko, St. Petersburg University,

St. Petersburg, Russia; G. Stolz, University of Alabama at Birming-

ham, AL, USA (Eds.)

Operator Theory, Analysis and

Mathematical Physics

This volume contains lectures delivered by the par-ticipants of the International Conference OperatorTheory and its Applications in Mathematical Physics(OTAMP 2004), held at the Mathematical Researchand Conference Center in Bedlewo near Poznan,Poland. The idea behind these lectures was to presentinteresting ramifications of operator methods in cur-rent research of mathematical physics. The maintopics are functional models of non-selfadjoint oper-ators, spectral properties of Dirac and Jacobi matri-ces, Dirichlet-to-Neumann techniques, Lyapunov ex-ponents methods, and inverse spectral problems forquantum graphs.

Features

Contains most recent research results at the borderline of operator theory and mathematical physics Allcontributions are original and have been reviewed byacknowledged experts

Contents

Introduction.- Contributions by P.A. Cohujari, M.Combescure, P. Exner, R.L. Frank, T. Ichinose, A.V.Kiselev, S. Kondej, J. Michor, A.B. Mikhailova, M.Nowaczyk, B.S. Pavlov, V.I. Ryzhii, V. Ryzhof, H.Schulz-Baldes, R.G. Shterenberg, L.O. Silva, S. Si-monov, G. Teschl, A. Tikhonov.

Fields of interest

Operator Theory; Mathematical Methods in Physics;Functional Analysis

Target groups

Postgraduates and researchers in Operator Theory,Functional Analysis and Mathematical Physics

Type of publication

Proceedings

Due March 2007

2007. VI, 257 p. (Operator Theory: Advances and Applications,

Vol. 174) Hardcover

129,00 €

ISBN 978-3-7643-8134-9

J. Janssen, Solvay Business School, Brussels, Belgium; R. Manca,

Università di Roma "La Sapienza," Rome, Italy

Semi-Markov Risk Models for

Finance, Insurance and Reliability

This book presents applications of semi-Markov pro-cesses in finance, insurance and reliability, using re-al-life problems as examples. After a presentationof the main probabilistic tools necessary for under-standing of the book, the authors show how to ap-ply semi-Markov processes in finance, starting fromthe axiomatic definition and continuing eventuallyto the most advanced financial tools, particularly ininsurance and in risk-and-ruin theories. Also consid-ered are reliability problems that interact with creditrisk theory in finance. The unique approach of thisbook is to solve finance and insurance problems withsemi-Markov models in a complete way and further-more present real-life applications of semi-Markovprocesses.

Contents

Preface.- Probability Tools for Stochastic Model-ing.- Renewal Theory and Markov Chains.- MarkovRenewal Processes, Semi-Markov Processes andMarkov Random Walks.- Discrete Time and Re-ward SMP and Their Numerical Treatment.- Se-mi-Markov Extensions of the Black-Scholes Model.-Other Semi-Markov Models in Finance and Insur-ance.- Insurance Risk Models.- Reliability and CreditRisk Models.- Generalised Non-Homogeneous Mod-els for Pension Funds and Manpower Management.-References.- Author Index.- Subject Index.

Fields of interest

Probability Theory and Stochastic Processes; Quan-titative Finance; Finance /Banking; Financial Eco-nomics; Numerical Analysis

Target groups

Applied mathematicians, statisticians, financial in-termediaries, actuaries, engineers, operations re-searchers

Type of publication

Monograph

Due March 2007

2007. XVII, 429 p. Hardcover

62,95 €

ISBN 978-0-387-70729-7


F.V. Jensen, Aalborg University, Aalborg, Denmark; Th.D. Nielsen,

Aalborg University, Aalborg, Denmark

Bayesian Networks and Decision

Graphs

Probabilistic graphical models and decision graphsare powerful modeling tools for reasoning and de-cision making under uncertainty. As modeling lan-guages they allow a natural specification of problemdomains with inherent uncertainty, and from a com-putational perspective they support efficient algo-rithms for automatic construction and query answer-ing. This includes belief updating, finding the mostprobable explanation for the observed evidence, de-tecting conflicts in the evidence entered into the net-work, determining optimal strategies, analyzing forrelevance, and performing sensitivity analysis. Thebook introduces probabilistic graphical models anddecision graphs, including Bayesian networks andinfluence diagrams. The reader is introduced to thetwo types of frameworks through examples and exer-cises, which also instruct the reader on how to buildthese models. The book is a new edition of BayesianNetworks and Decision Graphs by Finn V. Jensen.The new edition is structured into two parts. [..]

Features

Gives a well-founded practical introduction toBayesian networks Includes presentation of the mostefficient algorithm for solving influence diagrams

Contents

Prerequisites on Probability Theory.- Causal AndBayesian Networks.- Building Models.- Belief Up-dating in Bayesian Networks.- Analysis Tools forBayesian Networks.- Parameter Estimation.- Learn-ing the Structure of Bayesian Networks.- BayesianNetworks as Classifiers.- Graphical Languages forSpecification of Decision Problems.- Solution Meth-ods for Decision Graphs.- Methods for AnalyzingDecision Problems.

Fields of interest

Probability and Statistics in Computer Science; Ar-tificial Intelligence (incl. Robotics); Statistics for En-gineering, Physics, Computer Science, Chemistry &Geosciences

Target groups


Type of publication


Due July 2007

2007. XVI, 447 p. (Information Science and Statistics) Hardcover

64,95 €

ISBN 978-0-387-68281-5

V.K. Jirsa, Florida Atlantic University, Boca Raton, FL, USA; A.R.

McIntosh, University of Toronto, ON, Canada (Eds.)

Handbook of Brain Connectivity

Our contemporary understanding of brain func-tion is deeply rooted in the ideas of the nonlineardynamics of distributed networks. Cognition andmotor coordination seem to arise from the interac-tions of local neuronal networks, which themselvesare connected in large scales across the entirebrain. The spatial architectures between var-ious scales inevitably influence the dynamics of thebrain and thereby its function. But how can we in-tegrate brain connectivity amongst these structuraland functional domains? Our Handbook providesan account of the current knowledge on the mea-surement, analysis and theory of the anatomical andfunctional connectivity of the brain. All contribu-tors are leading experts in various fields concerningstructural and functional brain connectivity. In thefirst part of the Handbook, the chapters focus on anintroduction and discussion of the principles under-lying connected neural systems. The second part in-troduces the currently available non-invasive tech-nologies [..]

Features

Brings together research from theoretical and practi-cal brain connectivity in a well structured handbookform

Contents

Part 1 Principles underlying structural and function-al brain connectivity.- Part 2 Technology of struc-tural and functional brain imaging.- Part 3 Analysisand measures of brain connectivity.- Part 4 Behav-ioral, developmental and clinical applications.

Fields of interest

Vibration, Dynamical Systems, Control; NonlinearDynamics, Complex Systems, Chaos, Neural Net-works; Neurosciences; Appl.Mathematics/Computa-tional Methods of Engineering; Dynamical Systemsand Ergodic Theory; Biophysics

Target groups

Researchers, engineers, graduate students in com-plexity, applied nonlinear dynamics, neuroscience

Type of publication

Monograph

Due July 2007

2007. X, 528 p. 158 illus. (Understanding Complex Systems) Hard-

cover

99,95 €

ISBN 978-3-540-71462-0

S. Jørgensen, University of Southern Denmark, Odense, Den-

mark; M. Quincampoix, Université de Bretagne Occidentale,

Brest, France; Th.L. Vincent, University of Arizona, Tucson, AZ,

USA (Eds.)

Advances in Dynamic Game Theory

Numerical Methods, Algorithms, and Applications to Ecology

and Economics

This collection of selected contributions gives anaccount of recent developments in dynamic gametheory and its applications, covering both theo-retical advances and new applications of dynam-ic games in such areas as pursuit-evasion games,ecology, and economics. Written by experts intheir respective disciplines, the chapters are an out-growth of presentations from the 11th Internation-al Symposium on Dynamic Games and Applica-tions. Key topics covered include stochasticand differential games; dynamic games andtheir applications in various areas, such as ecolo-gy and economics; numerical methods andalgorithms in dynamic games; zero- andnonzero-sum games; pursuit-evasion games;and evolutionary game theory and applica-tions. The work will serve as a state-of-the art ac-count of recent advances in dynamic game theo-ry and its applications for researchers, practition-ers, and advanced students in applied mathematics,mathematical finance, and engineering.

Features

Collection of selected contributions giving a state-of-the-art account of recent developments in dynam-ic game theory and its applications Covers a broadrange of topics: stochastic and differential games;applications of dynamic games in various areas,such as ecology and economics; zero- and non-zerogames; and pursuit-evasion games Written byexperts in their respective disciplines Broad audience[..]

Contents

Preface.- Contributors.- Stochastic Games.- Differ-ential Games.- Applications of Dynamic Games.-Numerical Methods and Algorithms for Solving Dy-namic Games.- Zero-Sum Games.- Pursuit-EvasionGames.

Fields of interest

Game Theory, Economics, Social and Behav. Sci-ences; Applications of Mathematics; ComputationalMathematics and Numerical Analysis; QuantitativeFinance; Probability Theory and Stochastic Process-es; Numerical and Computational Methods in Engi-neering

Target groups

Researchers, practitioners, and advanced studentsin applied mathematics, mathematical finance, andengineering

Type of publication

Contributed volume

Due May 2007

2007. XXII, 722 p. 190 illus. (Annals of the International Society of

Dynamic Games, Vol. 9) Hardcover

159,00 €

ISBN 978-0-8176-4399-7


S. Kalliadasis, Imperial College London, UK; U. Thiele, Max-

Planck-Institut für Physik komplexer Systeme, Dresden, Germany

(Eds.)

Thin Films of Soft Matter

A detailed overview and comprehensive analysis ofthe main theoretical and experimental advances onfree surface thin film and jet flows of soft matter isgiven. At the theoretical front the book outlines thebasic equations and boundary conditions and thederivation of low-dimensional models for the evolu-tion of the free surface. Such models include long-wave expansions and equations of the boundary lay-er type and are analyzed via linear stability analysis,weakly nonlinear theories and strongly nonlinearanalysis including construction of stationary periodicand solitary wave and similarity solutions. At the ex-perimental front a variety of very recent experimen-tal developments is outlined and the link betweentheory and experiments is illustrated. Such experi-ments include spreading drops and bubbles, imbibi-tions, singularity formation at interfaces and exper-imental characterization of thin films using atom-ic force microscopy, ellipsometry and contact anglemeasurements and analysis of patterns [..]

Contents

Seemann, R., Herminghaus, S., Jacobs, K., StructureFormation in Thin Liquid Films: Interface ForcesUnleashed. - Thiele, U., Structure Formation in ThinLiquid Films. - Eggers, J. G., Singularities and Simi-larities. - Quéré, D., Three-Phases Capillarity. - Kalli-adasis, S., Falling Films Under Complicated Condi-tions. - Ben, Y., Demekhin, E. A., Chang, H.-C., Mis-cible Fingering in Electrokinetic Flow: Symmetriesand Zero Modes.

Fields of interest

Engineering Fluid Dynamics; Nonlinear Dynamics,Complex Systems, Chaos, Neural Networks; Fluids;Soft Matter, Complex Fluids; Surfaces and Interfaces,Thin Films

Target groups

Applied mathematicians, physicists, physicalchemists, chemical/mechanical engineers, studentsin the mentioned fields

Type of publication

Monograph

Due June 2007

2007. VII, 206 p. 84 illus., partly in color. (CISM International Cen-

tre for Mechanical Sciences, Number 490) Softcover

64,00 €

ISBN 978-3-211-69807-5

A. Karatkevich, University of Zielona Góra, Zielona, Poland

Dynamic Analysis of Petri Net-

Based Discrete Systems

Features

Presents an adaptation of the Petri net analysis meth-ods to the low-level models which can be directlyused in design of logical controllers The researcherswill find in the book certain addition to theory ofPetri nets, and the practitioners – a lot of methodsthat can be used in CAD for verification and analysisof parallel control systems

Contents

Introduction.- Main Notions, Problems and Meth-ods.- Reduced Reachability Graphs.- Decompositionfor Analysis.- Analysis by Solving Logical Equations- Calculation of Siphons and Traps.- Verification ofDetailed System Descriptions.- Conclusion.

Fields of interest


Target groups

Engineers, researchers, and students in control engi-neering and petri nets

Type of publication

Monograph

Due April 2007

2007. XIII, 166 p. Also available online. (Lecture Notes in Control


79,95 €

ISBN 978-3-540-71464-4

G. Kirchgässner, University of St. Gallen, Switzerland; J. Wolters,

Freie Universität Berlin, Germany

Introduction to Modern Time Series

Analysis

This book presents modern developments in timeseries econometrics that are applied to macroeco-nomic and financial time series. It attempts to bridgethe gap between methods and realistic applications.This book contains the most important approach-es to analyse time series which may be stationary ornonstationary. Modelling and forecasting univariatetime series is the starting point. For multiple station-ary time series Granger causality tests and vector au-toregressive models are presented. For real appliedwork the modelling of nonstationary uni- or multi-variate time series is most important. Therefore, unitroot and cointegration analysis as well as vector er-ror correction models play a central part. Modellingvolatilities of financial time series with autoregressiveconditional heteroskedastic models is also treated.

Features

Presents recent and modern methods of time serieseconometrics Combines methods with real world ap-plications

Contents

Introduction and Basics.- Univariate Stationary Pro-cesses.- Granger Causality.- Vector AutoregressiveProcesses.- Nonstationary Processes.- Cointegra-tion.- Autoregressive Conditional Heteroskedastici-ty.

Fields of interest

Econometrics; Statistics for Business/Eco-nomics/Mathematical Finance/Insurance

Target groups

Students, researchers

Type of publication

Monograph

Due August 2007

2007. X, 274 p. 43 illus. Hardcover

79,95 €

ISBN 978-3-540-73290-7


A. Knoebel, Albuquerque, NM, USA; R. Laubenbacher, Virginia

Bioinformatics Institute, Blacksburg, VA, USA; J. Lodder, New

Mexico State University, Las Cruces, NM, USA; D. Pengelley, New

Mexico State University, Las Cruces, NM, USA

Mathematical Masterpieces

Further Chronicles by the Explorers

This book traces the historical development of fourdifferent mathematical concepts by presenting read-ers with the original sources. Although primarysources can be more demanding, the investmentyields the rewards of a deeper understanding of thesubject, an appreciation of the details, and a glimpseinto the direction research has taken. Each chaptercontains a different story, each anchored around asequence of selected primary sources showcasing amasterpiece of mathematical achievement. The au-thors begin by studying the interplay between thediscrete and continuous, with a focus on sums ofpowers. They proceed to the development of algo-rithms for finding numerical solutions of equationsas developed by Newton, Simpson and Smale. Nextthey explore our modern understanding of curva-ture, with its roots in the emerging calculus of the17th century, while the final chapter ends with an ex-ploration of the elusive properties of prime numbers,and the patterns found therein. This book emergedfrom a [..]

Features

This text has been developed and class tested for over15 years Uses original sources to teach the history ofmathematics Heavily illustrated with line drawingsand half-tones, and each chapter is accompanied byexercises Each chapter is self-contained and could beused independently

Contents

Preface.- The Bridge Between the Continuous andthe Discrete.- Solving Equations Numerically: Find-ing our Roots.- Curvature and the Notion of Space.-Patterns in Prime Numbers: The Quadratic Reci-procity Law.- References.- Credits.

Fields of interest

History of Mathematics; Algorithms; DifferentialGeometry; Number Theory

Target groups

Undergrad mathematics students, mathematicsteachers, mathematicians

Type of publication


Due September 2007

2007. XII, 340 p. (Readings in Mathematics) Hardcover

62,95 €

ISBN 978-0-387-33060-0

A. Knoebel, Albuquerque, NM, USA; R. Laubenbacher, Virginia

Bioinformatics Institute, Blacksburg, VA, USA; J.M. Lodder, New

Mexico State University, Las Cruces, NM, USA; D. Pengelley, New

Mexico State University, Las Cruces, NM, USA

Mathematical Masterpieces

Further Chronicles by the Explorers

This book traces the historical development of fourdifferent mathematical concepts by presenting read-ers with the original sources. Although primarysources can be more demanding, the investmentyields the rewards of a deeper understanding of thesubject, an appreciation of the details, and a glimpseinto the direction research has taken. Each chaptercontains a different story, each anchored around asequence of selected primary sources showcasing amasterpiece of mathematical achievement. The au-thors begin by studying the interplay between thediscrete and continuous, with a focus on sums ofpowers. They proceed to the development of algo-rithms for finding numerical solutions of equationsas developed by Newton, Simpson and Smale. Nextthey explore our modern understanding of curva-ture, with its roots in the emerging calculus of the17th century, while the final chapter ends with an ex-ploration of the elusive properties of prime numbers,and the patterns found therein. This book emergedfrom a [..]

Features

This text has been developed and class tested for over15 years Uses original sources to teach the history ofmathematics Heavily illustrated with line drawingsand half-tones, and each chapter is accompanied byexercises Each chapter is self-contained and could beused independently

Contents

Preface.- The Bridge Between the Continuous andthe Discrete.- Solving Equations Numerically: Find-ing our Roots.- Curvature and the Notion of Space.-Patterns in Prime Numbers: The Quadratic Reci-procity Law.- References.- Credits.

Fields of interest

History of Mathematics; Algorithms; DifferentialGeometry; Number Theory

Target groups

Undergrad mathematics students, mathematicsteachers, mathematicians

Type of publication


Due September 2007

2007. XII, 340 p. (Readings in Mathematics) Softcover

32,95 €

ISBN 978-0-387-33061-7

L. Koralov, University of Maryland, College Park, MD, USA; Y.G.

Sinai, Princeton University, NJ, USA

Theory of Probability and Random

Processes

A one-year course in probability theory and the the-ory of random processes, taught at Princeton Uni-versity to undergraduate and graduate students,forms the core of the content of this book It is struc-tured in two parts: the first part providing a detaileddiscussion of Lebesgue integration, Markov chains,random walks, laws of large numbers, limit theo-rems, and their relation to Renormalization Grouptheory. The second part includes the theory ofstationary random processes, martingales, general-ized random processes, Brownian motion, stochasticintegrals, and stochastic differential equations. Onesection is devoted to the theory of Gibbs randomfields. This material is essential to many undergrad-uate and graduate courses. The book can also serveas a reference for scientists using modern probabilitytheory in their research.

Features

Comprehensive, self-contained exposition of classi-cal probability theory and the theory of random pro-cesses Dwells on a number of modern topics, not ad-dressed in most textbooks Author Ya. G. Sinai is oneof the world's leading probabilists and mathematicalphysicists

Contents

From the Contents Part I Probability Theory: Spacesof Elementary Outcomes. Random Variables andtheir Distributions.- Sequences of Independent Tri-als. Lebesgue Integral and Mathematical Expecta-tion. Conditional Probabilities and Independence.-Markov Chains.- Random Walks on the Lattice Zd.-Laws of Large Numbers.- Weak Convergence ofMeasures.- Characteristic Functions.- Limit Theo-rems.- Several Interesting Problems. Part IIRandom Processes: Basic Concepts.- ConditionalExpectations and martingales.- Random Processeswhich are Stationary in the Wide Sense.- RandomProcesses [..]

Fields of interest


Target groups

Undergraduate and graduate students, lecturers inprobability theory and random processes

Type of publication


Due August 2007

Originally published as Springer Textbook: Probability Theory. An

Introductory Course

2007. XI, 353 p. (Universitext) Softcover

34,95 €

ISBN 978-3-540-25484-3


A. Korenovskii, Odessa National University, Ukraine

Mean Oscillations and

Equimeasurable Rearrangements of

Functions

Various applications of equimeasurable function re-arrangements to the “best constant”-type problemsare considered in this volume. Several classical theo-rems are presented along with some very recent re-sults. In particular, the text includes a product-spaceextension of the Rising Sun lemma, a product-spaceversion of the John-Nirenberg inequality for bound-ed mean oscillation (BMO) functions with sharp ex-ponent, a refinement of the Gurov-Reshetnyak lem-ma, sharp embedding theorems for Muckenhoupt,Gurov-Reshetnyak, reverse Hölder, and Gehringclasses, etc. This volume is interesting for graduatestudents and mathematicians involved with thesetopics.

Contents

Preface.- 1.Preliminaries and auxilliary results.- 2.Properties of oscillations and the definition of theBMO-class.- 3.Estimates of rearrangements and theJohn-Nirenberg theorem.- 4.The BMO-estimates ofthe Hardy-type transforms.- 5.The Gurov-Reshet-nyak class of functions.- Appendix: A.The bound-edness of the Hardy-Littlewood maximal operatorfrom BMO into BLO.- B.The weighted analogs of theRiesz lemma and the Gurov-Reshetnyak theorem.-C.Classes of functions satisfying the reverse Hölderinequality.- References.- Index.

Fields of interest

Fourier Analysis; Functional Analysis

Target groups


Type of publication

Monograph

Due September 2007

2007. VIII, 189 p. (Lecture Notes of the Unione Matematica Ital-

iana, Vol. 4) Softcover

29,95 €

ISBN 978-3-540-74708-6

W. Krabs, TU Darmstadt, Germany; S.W. Pickl, Universität der

Bundeswehr München, Neubiberg, Germany

Modelling, Analysis and

Optimization of Biosystems

Mathematical models in biology and medicine can-not be based on natural laws as it is the case withphysics and chemistry. This is due to the fact that bi-ological and medical processes are concerned withliving organisms. Mathematical models, however,can be used as a language by which certain aspectsof biological or medical processes can be expressed.In general, several mathematical models can be de-signed in order to describe a biological or medicalprocess and there is no unique criterion which modelgives the best description. This book presents sever-al of these models and shows applications of them todifferent biological and medical problems. The bookshows that operations research expertise is necessaryin respect to modeling, analysis and optimization ofbiosystems.

Contents

Growth Models.- A Game-Theoretic Evolution Mod-el.- Four Models of Optimal Control in Medicine.- AMathematical Model of Hemodialysis.- Appendix.

Fields of interest

Mathematical Biology in General; Biological Tech-niques; Operation Research/Decision Theory; Hema-tology; Control Engineering

Target groups

Researchers

Type of publication

Monograph

Due August 2007

2007. XI, 203 p. Hardcover

79,95 €

ISBN 978-3-540-71452-1

B. Krauskopf, University of Bristol, UK; H.M. Osinga, University of

Bristol, UK; J. Galan-Vioque, University of Sevilla, Spain (Eds.)

Numerical Continuation Methods

for Dynamical Systems

Path following and boundary value problems

Path following in combination with boundary val-ue problem solvers has emerged as a continuing andstrong influence in the development of dynamicalsystems theory and its application. It is widely ac-knowledged that the software package AUTO - de-veloped by Eusebius J. Doedel about thirty years agoand further expanded and developed ever since -plays a central role in the brief history of numeri-cal continuation. This book has been compiled onthe occasion of Sebius Doedel's 60th birthday. Bring-ing together for the first time a large amount of ma-terial in a single, accessible source, it is hoped thatthe book will become the natural entry point for re-searchers in diverse disciplines who wish to learnwhat numerical continuation techniques can achieve.The book opens with a foreword by Herbert B. Kellerand lecture notes by Sebius Doedel himself that in-troduce the basic concepts of numerical bifurcationanalysis. The other chapters by leading experts dis-cuss continuation for various types of systems [..]

Features

An overview of the influence of an important tool forbifurcation analysis Providing this material, so farspread over a large body of research literature in dif-ferent fields, in one single source Also accessible tonon-specialists With 200 figures, 26 in full colour

Contents

Introduction. Foreword. 1. Lecture Notes on Numer-ical Analysis of Nonlinear Equations.2. InteractiveContinuation Tools. 3. Higher-Dimensional Con-tinuation. 4. Computing Invariant Manifolds via theContinuation of Orbit Segments. 5. The Dynamics ofSQUIDs and Coupled Pendula. 6. Global BifurcationAnalysis in Laser Systems. 8. Periodic Orbit Contin-uation in Multiple Time Scale Systems. 9. Continu-ation of Periodic orbits in Symmetric HamiltonianSystems. 10. Phase Conditions, Symmetries and PDEContinuation. 11. Numerical Computation of Co-herent Structures. 12. Continuation and [..]

Fields of interest

Applications of Mathematics; Appl.Mathematics/Computational Methods of Engineering; Physics andApplied Physics in Engineering

Target groups

Graduates and researchers in applied mathematics,dynamical systems, numerical analysis

Type of publication

Contributed volume

Due July 2007

2007. IV, 412 p. (Understanding Complex Systems) Hardcover

139,95 €

ISBN 978-1-4020-6355-8


G. Kresin, College of Judea and Samaria, Ariel, Israel; V. Maz'ya,

Ohio State University, Columbus, OH, USA; T. Shaposhnikova

(Ed.)

Sharp Real-Part Theorems

A Unified Approach

This volume contains a coherent point of view onvarious sharp pointwise inequalities for analyticfunctions in a disk in terms of the real part of thefunction on the boundary circle or in the disk itself.Inequalities of this type are frequently used in thetheory of entire functions and in the analytic num-ber theory. Rich opportunities are anticipated to ex-tend these inequalities to analytic functions of severalcomplex variables and solutions of partial differentialequations.

Contents

Preface.- Introduction.- Estimates for analytic func-tions bounded with respect to their real part.- Esti-mates for analytic functions with respect to the Lp-norm of Re f on the circle.- Estimates for analyticfunctions by the best Lp-approximation of Re f onthe circle.- Estimates for directional derivatives ofharmonic functions.- Estimates for derivatives of an-alytic functions.- Bohr's type real part estimates.- Es-timates for the increment of derivatives of analyticfunctions.- References.- Index.- List of symbols.

Fields of interest

Functions of a Complex Variable; Potential Theory

Target groups

Researchers and graduate students on complex anal-ysis of one and several variables, harmonic functionstheory, partial differential equations, operator theo-ry, and analytic number theory

Type of publication

Monograph

Due March 2007

2007. XVI, 144 p. (Lecture Notes in Mathematics, Vol. 1903) Soft-

cover

29,95 €

ISBN 978-3-540-69573-8

A. Kundu, Saha Institute of Nuclear Physics, Calcutta, India (Ed.)

Tsunami and Nonlinear Waves

The need for tsunami research and analysis hasgrown dramatically following the devastating tsuna-mi of December 2004, which affected Southern Asia.This book pursues a detailed theoretical and math-ematical analysis of the fundamentals of tsunamis,especially the evolution and dynamics of tsunamisand other great waves. Of course, it includes spe-cific measurement results from the 2004 tsunami,but the emphasis centres on the nature of the wavesthemselves and their links to nonlinear phenomena.Throughout, methods of nonlinear dynamics and in-tegrable systems are employed to develop novel con-cepts for more accurate prediction and hence the re-duction of related impacts.

Features

Includes specific measurement results from the 2004tsunami but with emphasis on the nature of thewaves themselves and their links to nonlinear phe-nomena

Contents

Waves in shallow water, with emphasis on the tsuna-mi of 2004.- Integrable Nonlinear Wave Equationsand Possible Connections to Tsunami Dynamics.-Solitary waves propagating over variable topogra-phy.- Water waves generated by a moving bottom.-Tsunami surge in a river: a hydraulic jump in an in-homogeneous channel.- On the modelling of hugewater waves called rogue waves.- Numerical Verifi-cation of the Hasselmann equation.- Runup of non-linear asymmetric waves on a plane beach.- TsunamiRunup in Lagrangian Description.- Analytical andnumerical models for tsunami run-up.- Large waves[..]

Fields of interest

Oceanography; Nonlinear Dynamics, Complex Sys-tems, Chaos, Neural Networks; Geoecology/NaturalProcesses; Fluids; Geophysics/Geodesy; ComputerApplications in Geosciences

Target groups

Scientists, researchers, institutes, libraries

Type of publication

Monograph

Due April 2007

2007. XIII, 315 p. 170 illus. Hardcover

99,95 €

ISBN 978-3-540-71255-8

K. Kunisch, Universität Graz, Austria; G. Leugering, Universität

Erlangen-Nürnberg, Germany; J. Sprekels, Humboldt-Universität

zu Berlin, Germany; F. Tröltzsch, Technische Universität Berlin,

Germany (Eds.)

Control of Coupled Partial

Differential Equations

This volume contains selected contributions orig-inating from the ‘Conference on Optimal Controlof Coupled Systems of Partial Differential Equa-tions’, held at the ‘Mathematisches Forschungsinsti-tut Oberwolfach’ in April 2005. With their articles,leading scientists cover a broad range of topics suchas controllability, feedback-control, optimality sys-tems, model-reduction techniques, analysis and opti-mal control of flow problems, and fluid-structure in-teractions, as well as problems of shape and topologyoptimization. Applications affected by these findingsare distributed over all time and length scales start-ing with optimization and control of quantum me-chanical systems, the design of piezoelectric acous-tic micro-mechanical devices, or optimal control ofcrystal growth to the control of bodies immersed in-to a fluid, airfoil design, and much more. The bookaddresses advanced students and researchers in op-timization and control of infinite dimensional sys-tems, typically represented by partial [..]

Features

Contributions by leading experts in the area

Contents

From the contents Introduction.- Wave Control.-Boundary Controllability.- Quantum Control.-Shape Optimization.- Navier-Stokes Equations.

Fields of interest

Partial Differential Equations; Systems Theory, Con-trol; Optimization

Target groups

Researchers and graduate students interested in opti-mal control of coupled systems of PDEs

Type of publication

Proceedings

Due April 2007

2007. VI, 388 p. 54 illus. (International Series of Numerical Mathe-

matics, Vol. 155) Hardcover

99,00 €

ISBN 978-3-7643-7720-5


G. Kutyniok, Princeton University, Princeton, NJ, USA

Affine Density in Wavelet Analysis

In wavelet analysis, irregular wavelet frames have re-cently come to the forefront of current research dueto questions concerning the robustness and stabil-ity of wavelet algorithms. A major difficulty in thestudy of these systems is the highly sensitive inter-play between geometric properties of a sequence oftime-scale indices and frame properties of the asso-ciated wavelet systems. This volume provides thefirst thorough and comprehensive treatment of ir-regular wavelet frames by introducing and employ-ing a new notion of affine density as a highly effec-tive tool for examining the geometry of sequences oftime-scale indices. Many of the results are new andpublished for the first time. Topics include: qualita-tive and quantitative density conditions for existenceof irregular wavelet frames, non-existence of irreg-ular co-affine frames, the Nyquist phenomenon forwavelet systems, and approximation properties of ir-regular wavelet frames.

Contents

1.Introduction.- 2.Wavelet and Gabor Frames.-3.Weighted Affine Density.- 4.Qualitative DensityConditions.- 5.Quantitative Density Conditions.- 6.Homogeneous Approximation Property.- 7.Weight-ed Beurling Density and Shift-Invariant Gabor.- Ref-erences.- Index.

Fields of interest

Fourier Analysis; Information and Communication,Circuits

Target groups


Type of publication

Monograph

Due July 2007

2007. XII, 138 p. Also available online. (Lecture Notes in Mathe-


29,95 €

ISBN 978-3-540-72916-7

V.M.A. Leitao, Instituto Superior Técnico, Lisboa, Portugal; C.J.S.

Alves, Instituto Superior Técnico, Lisboa, Portugal; C.A. Duarte,

University of Illinois at Urbana-Champaign, Urbana, IL, USA (Eds.)

Advances in Meshfree Techniques

In recent years meshless/meshfree methods havegained a considerable attention in engineering andapplied mathematics. The variety of problems thatare now being addressed by these techniques contin-ues to expand and the quality of the results obtaineddemonstrates the effectiveness of many of the meth-ods currently available. The book presents a signif-icant sample of the state of the art in the field withmethods that have reached a certain level of maturi-ty while also addressing many open issues. The bookcollects extended original contributions present-ed at the first ECCOMAS Conference on MeshlessMethods held in 2005 in Lisbon. The list of contribu-tors reveals a mix of highly distinguished authors aswell as quite young but very active and promising re-searchers, thus giving the reader an interesting andupdated view of different mesh reduction methodsand its range of applications. The material presentedis appropriate for researchers, engineers, physicists,applied mathematicians and graduate [..]

Features

Collects state-of-the-art research on the subject ofmesh reduction techniques Valuable reference forresearchers interested in the field of mesh reductiontechniques Aims at promoting the application ofmesh reduction techniques to a wide variety of en-gineering and science problems Covers a variety ofmesh reduction techniques -- one of the most activeresearch areas in computational mechanics

Fields of interest

Structural Mechanics; Computational Math-ematics and Numerical Analysis; Algorithms;Appl.Mathematics/Computational Methods of Engi-neering; Numerical and Computational Methods inEngineering

Target groups

Researchers in the field of meshless methods, engi-neers in general, applied mathematicians, physicists,and those active in computational mechanics

Type of publication

Proceedings

Due April 2007

2007. VIII, 314 p. (Computational Methods in Applied Sciences,

Vol. 5) Hardcover

139,95 €

ISBN 978-1-4020-6094-6

G. Lin, University of Alberta, AB, Canada (Ed.)

Computing and Combinatorics

13th Annual International Conference, COCOON 2007, Banff,

Canada, July 16-19, 2007, Proceedings

The refereed proceedings of the 13th Annual Inter-national Computing and Combinatorics Confer-ence, COCOON 2007, held in Banff, Canada in Ju-ly 2007. The 51 revised full papers presented togeth-er with abstracts of 3 invited talks were carefully re-viewed and selected from 154 submissions. The pa-pers feature original research works in the areas ofalgorithms, theory of computation, computationalcomplexity, and combinatorics related to computing.

Fields of interest

Algorithm Analysis and Problem Complexity; Dis-crete Mathematics in Computer Science; ComputerCommunication Networks; Data Structures; Com-puter Graphics; Algorithms

Target groups


Type of publication

Proceedings

Due June 2007

2007. XII, 570 p. (Lecture Notes in Computer Science, Vol. 4598)

Softcover

68,00 €

ISBN 978-3-540-73544-1


A. Ludu, Northwestern State University, Natchitoches, LA, USA

Nonlinear Waves and Solitons on

Contours and Closed Surfaces

The present volume is an introduction to nonlinearwaves and soliton theory in the special environmentof compact spaces such a closed curves and surfacesand other domain contours. It assumes familiaritywith basic soliton theory and nonlinear dynamicalsystems. The first part of the book introduces themathematical concept required for treating the man-ifolds considered. Emphasis on the relevant notionsfrom topology and differential geometry. An intro-duction to the theory of motion of curves and sur-faces - as part of the emerging field of contour dy-namics - is given. The second and third parts discussthe modeling of various physical solitons on compactsystems, such as filaments, loops and drops madeof almost incompressible materials thereby inter-secting with a large number of physical disciplinesfrom hydrodynamics to compact object astrophysics.This book is intended for graduate students and re-searchers in mathematics, physics and engineering.

Contents

Introduction.- Mathematical Prerequisites.- The Im-portance of the Boundary.- Vector Fields, Differen-tial Forms, and Derivatives.- Geometry of Curves.-Motion of Curves and Solitons.- Geometry of Sur-faces.- Theory of Motion of Surfaces.- Kinematicsof Hydrodynamics.- Dynamics of Hydrodynamics.-Nonlinear Surface Waves in One-Dimension.- Non-linear Surface Waves in Two-Dimensions.- Nonlin-ear Surface Waves in Three-Dimensions.- Other Spe-cial Nonlinear Compact Systems.- Filaments, Chainsand Solitons.- Solitons on the Boundaries of Micro-scopic Systems.- Nonlinear Contour Dynamics in [..]

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Differential Geometry; Mathemat-ical Methods in Physics; Fluids

Target groups

Postgraduate students and researchers

Type of publication

Monograph

Due September 2007

2007. XX, 466 p. 140 illus. (Springer Series in Synergetics) Hard-

cover

89,95 €

ISBN 978-3-540-72872-6

K.A. Lurie, Worcester Polytechnic Institute, Worcester, MA, USA

An Introduction to the

Mathematical Theory of Dynamic

Materials

This book gives a mathematical treatment of anovel concept in material science that charac-terizes the properties of dynamic materials—that is, material substances whose properties arevariable in space and time. Unlike conventionalcomposites that are often found in nature, dy-namic materials are mostly the products of moderntechnology developed to maintain the most effec-tive control over dynamic processes. These materi-als have diverse applications: tunable left-handed di-electrics, optical pumping with high-energy pulsecompression, and electromagnetic stealth technolo-gy, to name a few. Of special significance is the par-ticipation of dynamic materials in almost every opti-mal material design in dynamics. The book discussessome general features of dynamic materials as ther-modynamically open systems; it gives their adequatetensor description in the context of Maxwell’s theoryof moving dielectrics and makes a special emphasison the theoretical analysis of spatio-temporal materi-al composites [..]

Features

Novel exposition of new mathematical theory devel-oped by the author

Contents

Preface.- A General Concept of Dynamic Materials.-An Activated Elastic Bar: Effective Properties.- Dy-namic Materials in Electrodynamics of Moving Di-alectrics.- G-Closures of a Set of Isotropic Dielectricswith Respect to One-Dimensional Wave Propaga-tion.- Rectangular Microstructures in Space-Time.-Some Applications of Dynamic Materials in Electri-cal Engineering and Optimal Design.- Appendix 1.-Appendix 2.- Appendix 3.- Appendix 4.- Index.

Fields of interest

Partial Differential Equations; Structural Materials;Optical and Electronic Materials; Calculus of Varia-tions and Optimal Control; Optimization; ClassicalElectrodynamics, Wave Phenomena; Vibration, Dy-namical Systems, Control

Target groups

Applied mathematicians interested in optimal prob-lems of material design for systems governed by hy-perbolic differential equations; researchers in thefield of smart metamaterials and their applications tooptimal material design in dynamics

Type of publication

Monograph

Due April 2007

2007. XVIII, 181 p. (Advances in Mechanics and Mathematics, Vol.

15) Hardcover

46,95 €

ISBN 978-0-387-38278-4

T.J. Lyons, University of Oxford, UK; M. Caruana, University of Ox-

ford, UK; T. Lévy, École Normale Supérieure, Paris, France

Differential Equations Driven by

Rough Paths

Ecole d’Eté de Probabilités de Saint-Flour XXXIV-2004

Each year young mathematicians congregate in SaintFlour, France, and listen to extended lecture cours-es on new topics in Probability Theory. The goal ofthese notes, representing a course given by TerryLyons in 2004, is to provide a straightforward andself supporting but minimalist account of the key re-sults forming the foundation of the theory of roughpaths. The proofs are similar to those in the exist-ing literature, but have been refined with the benefitof hindsight. The theory of rough paths aims to cre-ate the appropriate mathematical framework for ex-pressing the relationships between evolving systems,by extending classical calculus to the natural modelsfor noisy evolving systems, which are often far fromdifferentiable.

Contents

A Word About the Summer School.- Foreword.-Introduction.- 1.Differential Equations Driven byModerately Irregular Signals.- 2.The Signature of aPath.- 3.Rough Paths.- 4.Integration along RoughPaths.- 5.Differential Equations Driven by RoughPaths.- References.- Index.

Fields of interest

Probability Theory and Stochastic Processes; Ordi-nary Differential Equations

Target groups


Type of publication

Monograph

Due May 2007

2007. XVIII, 109 p. 3 illus. (Ecole d'Eté Probabilit.Saint-Flour, Vol.

1908) Softcover

29,95 €

ISBN 978-3-540-71284-8


J. López-Gómez, Universidad Complutense de Madrid, Spain; C.

Mora-Corral, University of Oxford, UK

Algebraic Multiplicity of

Eigenvalues of Linear Operators

This book brings together all available results aboutthe theory of algebraic multiplicities, from the mostclassic results, like the Jordan Theorem, to the mostrecent developments, like the uniqueness theoremand the construction of the multiplicity for non-ana-lytic families. Part I (first three chapters) is a classiccourse on finite-dimensional spectral theory, Part II(the next eight chapters) presents the most generalresults available about the existence and uniquenessof algebraic multiplicities for real non-analytic oper-ator matrices and families, and Part III (last chapter)transfers these results from linear to nonlinear analy-sis. The text is as self-contained as possible and suit-able for students at the advanced undergraduate orbeginning graduate level.

Features

Introduces readers to the classic theory with themost modern terminology, and, simultaneously,conducts readers comfortably to the latest develop-ments in the theory of the algebraic multiplicity ofeigenvalues of one-parameter families of Fredholmoperators of index zero Gives a very comfortable ac-cess to the latest developments in the real non-ana-lytic case, where optimal results are included by thefirst [..]

Contents

Preface.- I. Finite-dimensional Classic Spectral The-ory - The Jordan Theorem - Operator Calculus -Spectral Projections.- II. Algebraic Multiplicities- Transversalization, Polynomial Factorization,Uniqueness, Jordan Chains, Smith Form, Logarith-mic Residues - Analytic and Classical Families. Sta-bility - Spectral Theorem for Matrix Polynomials -Further Developments.- III. Nonlinear Spectral The-ory.- Bibliography.- Index.

Fields of interest

Functional Analysis; Linear and Multilinear Al-gebras, Matrix Theory; Mathematical Methods inPhysics; Operator Theory

Target groups

Advanced undergraduate and graduate students; re-searchers in mathematics, mathematical physics andphysics

Type of publication

Monograph

Due June 2007

2007. XII, 310 p. (Operator Theory: Advances and Applications,

Vol. 177) Hardcover

99,00 €

ISBN 978-3-7643-8400-5

X. Ma, Ecole Polytechnique, Paris, France; G. Marinescu, Universi-

ty of Köln, Germany

Holomorphic Morse Inequalities

and Bergman Kernels

This book gives for the first time a self-contained andunified approach to holomorphic Morse inequalitiesand the asymptotic expansion of the Bergman kernelon manifolds by using the heat kernel, and presentsalso various applications. The main analytic tool isthe analytic localization technique in local index the-ory developed by Bismut-Lebeau. The book includesthe most recent results in the field and thereforeopens perspectives on several active areas of researchin complex, Kähler and symplectic geometry. A largenumber of applications are included, e.g., an analyticproof of the Kodaira embedding theorem, a solutionof the Grauert-Riemenschneider and Shiffman con-jectures, a compactification of complete Kähler man-ifolds of pinched negative curvature, the Berezin-Toeplitz quantization, weak Lefschetz theorems, andthe asymptotics of the Ray-Singer analytic torsion.

Features

Most of the material appears for the first time inbook form New approach to the holomorphic Morseinequalities and Bergman kernel expansions Exploitsthe analytic localization techniques in local indextheory developed by Bismut-Lebeau

Contents

0. Introduction.- 1. Demailly's Holomorphic MorseInequalities.- 2. Characterization of Moishezon Man-ifolds.- 3. Holomorphic Morse Inequalities on Non-compact Manifolds.- 4. Asymptotic Expansion of theBergman Kernel.- 5. Kodaira Map.- 6. Bergman Ker-nel on Non-compact Manifolds.- 7. Toeplitz Opera-tors.- 8. Bergman Kernels on Symplectic Manifolds.-Appendix.- A. Sobolev Spaces - B. Elements of Ana-lytic and Hermitian Geometry - C. Spectral Analysisof Self-adjoint Operators - D. Heat Kernel and FinitePropagation Speed - E. Harmonic Oscillator.

Fields of interest

Several Complex Variables and Analytic Spaces;Global Analysis and Analysis on Manifolds; Differ-ential Geometry

Target groups

Graduates and researchers in complex and symplec-tic geometry, and global analysis on manifolds

Type of publication

Monograph

Due July 2007

2007. XIII, 422 p. (Progress in Mathematics, Vol. 254) Hardcover

59,90 €

ISBN 978-3-7643-8096-0

K. Mainzer, Universität Augsburg, Germany

Thinking in Complexity

The Computational Dynamics of Matter, Mind, and Mankind

The theory of nonlinear, complex systems has be-come by now a proven problem-solving approach inthe natural sciences. And it is now also recognizedthat many if not most of our social, ecological, eco-nomical and political problems are essentially of aglobal, complex and nonlinear nature. And it is nowfurther accepted than any holistic perspective of thehuman mind and brain can hardly be achieved byany other approach. In this wide-ranging, scholar-ly but very concise treatment, physicist, computerscientist and philosopher Klaus Mainzer discusses,in essentially nontechnical language, the commonframework behind these ideas and challenges. Em-phasis is given to the evolution of new structures innatural and cultural systems and we are lead to seeclearly how the new integrative approach can giveinsights not available from traditional reductionis-tic methods. The fifth edition enlarges and revises al-most all sections and supplements an entirely newchapter on the complexity of economic [..]

Features

In this broad and unique canvas on complexity andcomplexity science at an advanced but essentiallynontechnical level, renowned scientist and philoso-pher Klaus Mainzer combines skillfully elementsfrom the history and philosophy of sciences withmodern problem solving approaches to the evergrowing list of systems in the widest sense, where themore traditional reductionist and deterministic ap-proaches fail

Contents

Introduction: From Linear to Nonlinear Think-ing.- Complex Systems and the Evolution of Mat-ter.- Complex Systems and the Evolution of Life.-Complex Systems and the Evolution of Mind-Brain.-Complex Systems and the Evolution of Artificial Lifeand Intelligence.- Complex Systems and the Evolu-tion of Economics.- Complex Systems and the Evo-lution of Human Culture and Society.- Index.

Fields of interest

Popular Science in Mathematics/Natural Sci-ence/Technology; Nonlinear Dynamics, ComplexSystems, Chaos, Neural Networks; Philosophy; Arti-ficial Intelligence (incl. Robotics); Bioinformatics

Target groups

Everyone interested in complexity at the scientificand philosophical level

Type of publication

Popular science

Due September 2007


49,95 €

ISBN 978-3-540-72227-4


M. Manaresi, University of Bologna, Italy (Ed.)

Mathematics and Culture in Europe

Mathematics in Art, Technology, Cinema, and Theatre

It is not true that mathematics has never been ableto arouse people's interest. At least, this is our feelingas mathematicians when we meet the general pub-lic to explain what we are dealing with in our work,what is the usefulness of mathematics and how it be-comes possible to catch its harmony and beauty. Al-so the cinema changed its attitude on the matter, andsome screenplays started to show mathematiciansengaged in their work while some recent theatricalpieces have a mathematician as a main character.These considerations stimulated some of us to orga-nize the review Mathematics and Theatre, which of-fered to a general audience the opportunity to attendperformances and, at the same time, to hear some-thing about prime numbers, Galois’ theory, or sim-ply about the relationship between science, mathe-matics and power at Napoleon's times. This volume,which has its origin in the activities performed inBologna in 2004, is dedicated to all those who are cu-rious about mathematics, but also more [..]

Features

a truly interdisciplinary volume of general intereston mathematical culture, education, media, cinemaand theatre showing the strong links between math-ematics and culture intended for mathematiciansand for a more general audience, for teachers andfor researchers, for students in a large variety of top-ics Shows how mathematics can be a vibrant and in-triguing cultural subject Deals with many films andplays [..]

Contents

Part I. Mathematical Culture, Education and Media.-Part II. Mathematics and Cinema.- Part III. Mathe-matics and Theatre

Fields of interest

Applications of Mathematics; Mathematics, gen-eral; Popular Science in Mathematics/Natural Sci-ence/Technology

Target groups

Students and teachers, both at university and sec-ondary school level; everyone who is involved in ed-ucating the young or interested in mathematics

Type of publication

Monograph

Due September 2007

Original Italian edition published by Springer Milano, 2005

2007. X, 406 p. 127 illus. Softcover

49,95 €

ISBN 978-3-540-71963-2

E.A. Marchisotto, California State University, Northridge, CA, USA;

J.T. Smith, San Francisco State University, San Francisco, CA, USA

The Legacy of Mario Pieri in

Geometry and Arithmetic

The Legacy of Mario Pieri in Geometry and Arith-metic introduces readers to Pieri’s career and hisstudies in foundations, from both historical andmodern viewpoints, placing his life and research incontext and tracing his influence on his contempo-raries as well as more recent mathematicians. Thetext also provides a glimpse of the Italian academ-ic world of Pieri's time, and its relationship with thedeveloping international mathematics community.Combining an engaging exposition, little-known his-torical information, exhaustive references and an ex-cellent index, this text will be of interest to graduatestudents, researchers and historians with a generalknowledge of logic and advanced mathematics, andit requires no specialized experience in mathematicallogic or the foundations of geometry.

Features

Introduces readers to Mario Pieri’s career and hisstudies in foundations, from both historical andmodern viewpoints First English translations, alongwith analyses, of two of his most important axioma-tizations - his postulates for arithmetic; and his foun-dation of elementary geometry on the basis of pointand sphere Combines an engaging exposition, lit-tle-known historical notes, exhaustive references and[..]

Contents

Preface.- Introduction.- Overview of Pieri's Re-search.- In the Shadow of Giants.- Arithmetic.- Ele-mentary Geometry.- Pieri's Place in History.

Fields of interest

History of Mathematics; Geometry; Algebraic Geom-etry; Mathematical Logic and Foundations

Target groups

Graduate students, researchers and historians inter-ested in the development of mathematical logic, al-gebraic geometry, number theory, inversive geome-try, intersection theory, mathematical analysis, vec-tor analysis, and differential geometry

Type of publication

Monograph

Due May 2007

2007. XIX, 494 p. 67 illus. Hardcover

109,00 €

ISBN 978-0-8176-3210-6

J.-M. Marin, Université Paris-Sud, Orsay, France; C.P. Robert, Uni-

versité Paris-Dauphine, Paris, France

Bayesian Core: A Practical Approach

to Computational Bayesian

Statistics

This Bayesian modeling book is intended for prac-titioners and applied statisticians looking for a self-contained entry to computational Bayesian statistics.Focusing on standard statistical models and backedup by discussed real datasets available from the bookwebsite, it provides an operational methodology forconducting Bayesian inference, rather than focusingon its theoretical justifications. Special attention ispaid to the derivation of prior distributions in eachcase and specific reference solutions are given foreach of the models. Similarly, computational detailsare worked out to lead the reader towards an effec-tive programming of the methods given in the book.While R programs are provided on the book websiteand R hints are given in the computational sectionsof the book, The Bayesian Core requires no knowl-edge of the R language and it can be read and usedwith any other programming language. The BayesianCore can be used as a textbook at both undergradu-ate and graduate levels, as [..]

Features

The perfect entry for gaining a practical understand-ing of Bayesian methodology Guides the reader intothe practice of prior modeling and Bayesian comput-ing for the most classical models Computational as-pects are sufficiently detailed to achieve effective pro-gramming of the methods with little effort Datasets,R codes and course slides are available on the bookwebsite

Contents

User's manual.- Normal models.- Regression andvariable selection.- Generalised linear models.- Cap-ture-recapture experiments.- Mixture models.- Dy-namic models.- Image analysis.

Fields of interest

Statistical Theory and Methods; Probability andStatistics in Computer Science; Simulation and Mod-eling; Numerical and Computational Methods in En-gineering; Signal,Image and Speech Processing; En-vironmental Computing/Environmental Modelling

Target groups

Students

Type of publication


Due March 2007

2008. XIII, 255 p. (Springer Texts in Statistics) Hardcover

59,95 €

ISBN 978-0-387-38979-0


J.E. Marsden, California Institute of Technology, Pasadena, CA,

USA; G. Misiolek, University of Notre Dame, IN, USA; J.-P. Ortega,

Université de Franche-Comté, Besançon, France; M. Perlmutter,

Massey University, Palmerston North, New Zealand; T.S. Ratiu,

École Polytechnique Fédérale de Lausanne, Switzerland

Hamiltonian Reduction by Stages

In this volume readers will find for the first time adetailed account of the theory of symplectic reduc-tion by stages, along with numerous illustrations ofthe theory. Special emphasis is given to group ex-tensions, including a detailed discussion of the Eu-clidean group, the oscillator group, the Bott-Vira-soro group and other groups of matrices. Amplebackground theory on symplectic reduction andcotangent bundle reduction in particular is provided.Novel features of the book are the inclusion of a sys-tematic treatment of the cotangent bundle case, in-cluding the identification of cocycles with magneticterms, as well as the general theory of singular reduc-tion by stages.

Contents

Preface.- Part I: Background and the Problem Set-ting.- 1. Symplectic Reduction.- 2. Cotangent Bun-dle Reduction.- 3. The Problem Setting.- Part II: Reg-ular Symplectic Reduction by Stages.- 4. Commut-ing Reduction and Semidirect Product Theory.- 5.Regular Reduction by Stages.- 6. Group Extensionsand the Stages Hypothesis.- 7. Magnetic CotangentBundle Reduction.- 8. Stages and Coadjoint Orbitsof Central Extensions.- 9. Examples.- 10. Stages andSemidirect Products with Cocycles.- 11. Reductionby Stages via Symplectic Distributions.- 12. Reduc-tion by Stages with Topological Conditions.- [..]

Fields of interest

Dynamical Systems and Ergodic Theory; DifferentialGeometry; Mathematical and Computational Physics

Target groups


Type of publication

Monograph

Due June 2007

2007. XV, 519 p. (Lecture Notes in Mathematics, Vol. 1913) Soft-

cover

69,95 €

ISBN 978-3-540-72469-8

R. Martin, Cardiff University, UK; M. Sabin, Numerical Geometry

Ltd., Cambridge, UK; J. Winkler, The University of Sheffield, UK

(Eds.)

Mathematics of Surfaces XII

12th IMA International Conference, Sheffield, UK, September

4-6, 2007, Proceedings

This book constitutes the refereed proceedings of the12th IMA International Conference on the Mathe-matics of Surfaces, held in Sheffield, UK in Septem-ber 2007. The 22 revised full papers presented to-gether with 8 invited papers were carefully reviewedand selected from numerous submissions. Amongthe topics addressed is the applicability of variousaspects of mathematics to engineering and comput-er science, especially in domains such as computeraided design, computer vision, and computer graph-ics. The papers cover a range of ideas from underly-ing theoretical tools to industrial uses of surfaces. Re-search is reported on theoretical aspects of surfacesincluding topology, parameterization, differentialgeometry, and conformal geometry, and also morepractical topics such as geometric tolerances, com-puting shape from shading, and medial axes for in-dustrial applications. Other specific areas of interestinclude subdivision schemes, solutions of differentialequations on surfaces, knot insertion, [..]

Fields of interest

Computer Graphics; Discrete Mathematics in Com-puter Science; Image Processing and Computer Vi-sion; Symbolic and Algebraic Manipulation; Geome-try; Computational Science and Engineering

Target groups


Type of publication

Proceedings

Due August 2007



64,00 €

ISBN 978-3-540-73842-8

P. Massart, Université de Paris-Sud, Orsay, France; J. Picard, Uni-

versité Blaise-Pascale Clermont-Ferrand, Aubière, France (Ed.)

Concentration Inequalities and

Model Selection

Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003

Since the impressive works of Talagrand, concen-tration inequalities have been recognized as funda-mental tools in several domains such as geometryof Banach spaces or random combinatorics. Theyalso turn out to be essential tools to develop a non-asymptotic theory in statistics, exactly as the centrallimit theorem and large deviations are known to playa central part in the asymptotic theory. An overviewof a non-asymptotic theory for model selection isgiven here and some selected applications to vari-able selection, change points detection and statisticallearning are discussed. This volume reflects the con-tent of the course given by P. Massart in St. Flour in2003. It is mostly self-contained and accessibleto graduate students.

Contents

1. Introduction.- 2. Exponential and information in-equalities.- 3. Gaussian processes.- 4. Gaussian mod-el selection.- 5. Concentration inequalities.- 6. Maxi-mal inequalities.- 7. Density estimation via model se-lection.- 8. Statistical learning.- References.- Index.

Fields of interest

Probability Theory and Stochastic Processes; Statisti-cal Theory and Methods; Information and Commu-nication, Circuits

Target groups

Graduate students and researchers

Type of publication

Monograph

Due April 2007

2007. XIV, 337 p. (Ecole d'Eté Probabilit.Saint-Flour, Vol. 1896)

Softcover

49,95 €

ISBN 978-3-540-48497-4


S. Matveev, Chelyabinsk State University, Russia

Algorithmic Topology and

Classification of 3-Manifolds

From the reviews of the 1st edition: "This book pro-vides a comprehensive and detailed account of dif-ferent topics in algorithmic 3-dimensional topolo-gy, culminating with the recognition procedure forHaken manifolds and including the up-to-date re-sults in computer enumeration of 3-manifolds. Orig-inating from lecture notes of various courses givenby the author over a decade, the book is intendedto combine the pedagogical approach of a graduatetextbook (without exercises) with the completenessand reliability of a research monograph… All thematerial, with few exceptions, is presented from thepeculiar point of view of special polyhedra and spe-cial spines of 3-manifolds. This choice contributesto keep the level of the exposition really elementary.In conclusion, the reviewer subscribes to the quota-tion from the back cover: "the book fills a gap in theexisting literature and will become a standard refer-ence for algorithmic 3-dimensional topology bothfor graduate students and researchers". [..]

Contents

1 Simple and Special Polyhedra.- 2 Complexity The-ory of 3-Manifolds.- 3 Haken Theory of Normal Sur-faces.- 4 Applications of the Theory of Normal Sur-faces.- 5 Algorithmic Recognition of $S^3$.- 6 Clas-sification of Haken 3-Manifolds.- 7 3-Manifold Rec-ognizer.- 8 The Turaev-Viro Invariants.- Appendix.-9.1 Manifolds of Complexity $\leq 6.- 9.2 MinimalSpines of Manifolds up to Complexity 6.- 9.3 Mini-mal Spines of Some Manifolds of Complexity 7.- 9.4Tables of Turaev-Viro Invariants.- References.- In-dex

Fields of interest

Topology; Differential Geometry; Algorithms; Sym-bolic and Algebraic Manipulation

Type of publication


Due August 2007

2007. XIV, 492 p. 264 illus. (Algorithms and Computation in

Mathematics, Vol. 9) Hardcover

54,95 €

ISBN 978-3-540-45898-2

V.D. Milman, Tel Aviv University, Israel; G. Schechtman, The Weiz-

mann Institute of Science, Rehovot, Israel (Eds.)

Geometric Aspects of Functional

Analysis

Israel Seminar 2004-2005

This collection of original papers related to the Is-raeli GAFA seminar (on Geometric Aspects of Func-tional Analysis) during the years 2004-2005 fol-lows the long tradition of the previous volumes thatreflect the general trends of the Theory and are asource of inspiration for research. Most of the papersdeal with different aspects of the Asymptotic Geo-metric Analysis, ranging from classical topics in thegeometry of convex bodies, to inequalities involvingvolumes of such bodies or, more generally, log-con-cave measures, to the study of sections or projectionsof convex bodies. In many of the papers ProbabilityTheory plays an important role; in some limit lawsfor measures associated with convex bodies, resem-bling Central Limit Theorems, are derive and in oth-ers probabilistic tools are used extensively. There arealso papers on related subjects, including a survey onthe behavior of the largest eigenvalue of random ma-trices and some topics in Number Theory.

Contents

S. Alesker: Theory of Valuations on Manifolds, IV.New Properties of the Multiplicative Structure.- S.Artstein-Avidan, O. Friedland, V. Milman: Geomet-ric Applications of Chernoff-Type Estimates.- S.G.Bobkov: A Remark on the Surface Brunn–Minkows-ki-Type Inequality.- S.G. Bobkov: On Isoperimet-ric Constants for Log-Concave Probability Distribu-tions.- J. Bourgain: A Remark on Quantum Ergodic-ity for CAT Maps.- J. Bourgain: Some ArithmeticalApplications of the Sum-Product Theorems in FiniteFields.- D. Gatzouras, A. Giannopoulos, N. Mark-oulakis: On the Maximal Number of Facets of 0/1 [..]

Fields of interest

Functional Analysis; Convex and Discrete Geometry;Probability Theory and Stochastic Processes

Target groups


Type of publication


Due May 2007


cover

49,95 €

ISBN 978-3-540-72052-2

F. Mollica, Universita di Ferrara, Ferrara, Italy; L. Preziosi, Politec-

nico di Torino, Torino, Italy; K.R. Rajagopal, University of Texas

A&M, College Station, TX, USA (Eds.)

Modeling of Biological Materials

This interdisciplinary collection of surveys highlightsthe central role played by the mathematical modelingof mechanical properties having an effect on the bi-ology, chemistry, and physics of living matter. Oneof the main goals of the book is to present—in a sin-gle, self-contained resource—topics that are wide-ly scattered across the literature in a variety of jour-nals having mutually nonintersecting communitiesof readers, such as applied mathematicians, engi-neers, biologists, and physicians. Readers from di-verse backgrounds are provided with basic model-ing ideas and tools to address important problemsin the medical and health sciences. Presented are ap-propriate models as well as their implementationthrough numerical and computer simulations, whichmay lead to potential technological innovations use-ful in medicine. Topics covered include mechanicalproperties of biological materials, biochemical andbiomechanical aspects of blood flow, formation andgrowth of intracranial aneurysms, modeling of [..]

Features

A single, self-contained resource for topics that arewidely scattered across the literature in a variety ofjournals having mutually nonintersecting communi-ties of readers, such as applied mathematicians, en-gineers, biologists, and physicians Provides readersfrom diverse backgrounds with basic modeling ideasand tools, which address important problems in themedical and health sciences Topics covered include[..]

Contents

Preface.- Rheology of Living Materials.- Biochemicaland Biomechanical Aspects of Blood Flow.- Theoret-ical Modeling of Enlarging Intracranial Aneurysms.-Theoretical Modeling of Cyclically Loaded, Biode-gradeable Cylinders.- Regulation of Hemostatic Sys-tem Function by Biochemical and Mechanical Fac-tors.- Mechanical Properties of Human MineralizedConnective Tissues.- Mechanics in Tumor Growth.-Inhomogeneities in Biological Membranes.

Fields of interest

Biomedical Engineering; Mathematical Modelingand Industrial Mathematics; Applications of Mathe-matics; Biomedicine general; Mathematical Biologyin General; Physiological, Cellular and Medical Top-ics

Target groups

Researchers, practitioners, and graduate studentsin Applied Mathematics, Engineering, Biology, andBiomedicine

Type of publication

Contributed volume

Due April 2007

2007. XV, 357 p. 71 illus. (Modeling and Simulation in Science,

Engineering and Technology) Hardcover

69,90 €

ISBN 978-0-8176-4410-9


S.J. Muller, Bernoulli Systems, Eveleigh, NSW, Australia

Asymmetry: The Foundation of

Information

As individual needs have arisen in the fields ofphysics, electrical engineering and computationalscience, each has created its own theories of infor-mation to serve as conceptual instruments for ad-vancing developments. This book provides a coher-ent consolidation of information theories from thesedifferent fields. The author gives a survey of currenttheories and then introduces the underlying notionof symmetry, showing how information is related tothe capacity of a system to distinguish itself. A for-mal methodology using group theory is employedand leads to the application of Burnside's Lemma tocount distinguishable states. This provides a versatiletool for quantifying complexity and information ca-pacity in any physical system. Written in an informalstyle, the book is accessible to all researchers in thefields of physics, chemistry, biology, computationalscience as well as many others.

Features

Consolidates diverse existing theories of informationAccessible to non-specialists

Contents

Introduction.- Information.- Information and Dis-tinguishability.- Information and Symmetry.- Con-clusion

Fields of interest

Coding and Information Theory; Group Theory andGeneralizations; Information and Communication,Circuits; Mathematical and Computational Physics;Computational Mathematics and Numerical Analy-sis

Target groups

Natural scientists, computer scientists, engineers,mathematicians

Type of publication

Monograph

Due May 2007

2007. VIII, 165 p. 33 illus. (The Frontiers Collection) Hardcover

79,95 €

ISBN 978-3-540-69883-8

M. Murray, University of Prince Edward Island, Charlottetown,

Canada

The Moral Wager

Evolution and Contract

This book illuminates and sharpens moral theory, byanalyzing the evolutionary dynamics of interperson-al relations in a variety of games. We discover thatsuccessful players in evolutionary games operate asif following this piece of normative advice: Don't dounto others without their consent. From this advice,some significant implications for moral theory fol-low. First, we cannot view morality as a categoricalimperative. Secondly, we cannot hope to offer ratio-nal justification for adopting moral advice. This iswhere Glaucon and Adeimantus went astray: theywanted a proof of the benefits of morality in everysingle case. That is not possible. Moral constraint is abad bet taken in and of itself. But there is some goodnews: moral constraint is a good bet when examinedstatistically.

Features

Best overarching defence of evolutionary ethics yetExcellent synthesis of biology, game theory, and con-tractarian ethics Offers a revisionist contractariannormative theory Great, sustained, dialectic progres-sion throughout Wonderfully clear, witty, and en-gaging

Contents

From the contents Introduction.- 1. Irrealism.- 2.Against Moral Categoricity.- 3. Self-Interest.- 4.Rationality's Failure.- 5. Evolutionary Fit.- 6. Con-sent Theory.- 7. Concerned Parties.- 8. Suffering andIndifference.- Bibliography.- Index.

Fields of interest

Ethics; Game Theory, Economics, Social and Behav.Sciences; Evolutionary Biology; Philosophy

Target groups

Professional philosophers specializing in theoreticalethics – especially studying contractarianism, gametheory, and/or evolutionary ethics; Grad students;Senior undergraduate students; Ethicists, biologists,economists, social theorists, decision theorists

Type of publication

Monograph

Due April 2007

2007. IX, 241p. (Philosophical Studies Series, Vol. 108) Hardcover

99,95 €

ISBN 978-1-4020-5854-7

V. Müller, Czech Academy of Sciences, Prague, Czech Republic

Spectral Theory of Linear Operators

and Spectral Systems in Banach Algebras

This book is dedicated to the spectral theory of lin-ear operators on Banach spaces and of elements inBanach algebras. It presents a survey of results con-cerning various types of spectra, both of single andn-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, localand Taylor spectrum, and their variants. The theo-ry is presented in a unified, axiomatic and elemen-tary way. Many results appear here for the first timein a monograph. The material is self-contained. On-ly a basic knowledge of functional analysis, topol-ogy, and complex analysis is assumed. The mono-graph should appeal both to students who wouldlike to learn about spectral theory and to experts inthe field. It can also serve as a reference book. Thepresent second edition contains a number of new re-sults, in particular, concerning orbits and theirrelations to the invariant subspace problem. This book is dedicated to the spectral theory of linearoperators on Banach spaces and of [..]

Features

Unique collection of material in spectral theory thatwas only available in research papers before Theoryis presented in a unified, axiomatic and elementaryway Only a basic knowledge of functional analysis,topology, and complex analysis is assumed Serves asa reference book on spectral theory in banach alge-bras

Contents

Preface .- I. Banach Algebras .- II. Operators .- III.Essential Spectrum .- IV. Taylor Spectrum .- V. Or-bits and Capacity .- Appendix .- Bibliography

Fields of interest

Operator Theory

Target groups

Graduates, postgraduates and researchers in opera-tor theory;physicists

Type of publication

Monograph

Due September 2007

2007. VIII, 439 p. (Operator Theory: Advances and Applications,

Vol. 139) Hardcover

129,00 €

ISBN 978-3-7643-8264-3


L.I. Nicolaescu, University of Notre Dame, IN, USA

An Invitation to Morse Theory

This self-contained treatment of Morse Theory fo-cuses on applications and is intended for a gradu-ate course on differential or algebraic topology. Thebook is divided into three conceptually distinct parts.The first part contains the foundations of Morse the-ory (over the reals). The second part consists of ap-plications of Morse theory over the reals, while thelast part describes the basics and some applicationsof complex Morse theory, a.k.a. Picard-Lefschetz the-ory. This is the first textbook to include topics suchas Morse-Smale flows, min-max theory, momentmaps and equivariant cohomology, and complexMorse theory. The exposition is enhanced with ex-amples, problems, and illustrations, and will be of in-terest to graduate students as well as researchers. Thereader is expected to have some familiarity with co-homology theory and with the differential and inte-gral calculus on smooth manifolds. Liviu Nicolaescuis Associate Professor of Mathematics at Universityof Notre Dame.

Features

Provides a useful introduction to Morse Theory Cov-ers many of the most important topics in Morse the-ory, along with applications Contains many verygood exercises Far more up-to-date and less special-ized than any other book on Morse Theory

Contents

Preface.- Notations and conventions.- Morse func-tions.- The topology of Morse functions.- Applica-tions.- Basics of complex Morse theory.- Exercisesand solutions.- References.- Index.

Fields of interest

Global Analysis and Analysis on Manifolds; Mani-folds and Cell Complexes (incl. Diff.Topology)

Target groups

Graduate students, mathematicians

Type of publication


Due March 2007

2007. XIV, 241 p. (Universitext) Softcover

39,95 €

ISBN 978-0-387-49509-5

P. Orlik, University of Wisconsin-Madison, WI, USA; V. Welker,

Philipps-Universität Marburg, Germany; G. Floystad, University of

Bergen, Norway (Ed.)

Algebraic Combinatorics

Lectures at a Summer School in Nordfjordeid, Norway, June

2003

This book is based on two series of lectures given ata summer school on algebraic combinatorics at theSophus Lie Centre in Nordfjordeid, Norway, in June2003, one by Peter Orlik on hyperplane arrange-ments, and the other one by Volkmar Welker on freeresolutions. Both topics are essential parts of currentresearch in a variety of mathematical fields, and thepresent book makes these sophisticated tools avail-able for graduate students.

Features

Peter Orlik is THE expert on arrangements, andVolkmar Welker an excellent mathematician ofthe younger generation The Nordfjordeid summerschool consistently offer high quality

Fields of interest

Combinatorics; Algebra; Geometry

Target groups

Graduate students in Mathematics

Type of publication


Due March 2007

2007. VIII, 177 p. (Universitext) Softcover

49,95 €

ISBN 978-3-540-68375-9

G.V. Osipov, Nizhny Novgorod University, Nizhny Novgorod, Rus-

sia; J. Kurths, University of Potsdam, Germany; C. Zhou, Universi-

ty of Potsdam, Germany

Synchronization in Oscillatory

Networks

The formation of collective behavior in large ensem-bles or networks of coupled oscillatory elements isone of the oldest and most fundamental aspects ofdynamical systems theory. Potential and presentapplications span a vast spectrum of fields rangingfrom physics, chemistry, geoscience, through life-and neurosciences to engineering, the economic andthe social sciences. This work systematically investi-gates a large number of oscillatory network config-urations that are able to describe many real systemssuch as electric power grids, lasers or the heart mus-cle - to name but a few. This book is conceived asan introduction to the field for graduate students inphysics and applied mathematics as well as being acompendium for researchers from any field of appli-cation interested in quantitative models.

Features

First monograph on this topic Written by interna-tionally known exerts in the field

Contents

Introduction.- Basic Models.- Synchronization Dueto External Periodic Forcing.- Synchronization ofTwo Coupled Systems.- Synchronization in Ensem-bles of Phase Oscillators.- Synchronization in Chainsof Coupled Limit-Cycle Oscillators.- Phase Synchro-nization in Ensembles of Chaotic OscillatorsWitha Period-Doubling Route to Chaos. Rössler Oscilla-tors.- Synchronization of Intermittent-LikeOscillations in Chains of Coupled Maps.- Regularand Chaotic Phase Synchronisation of Coupled Cir-cle Maps.- Controlling Phase Synchronization in Os-cillatory Networks.- Synchronization Structures [..]

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Dynamical Systems and ErgodicTheory; Game Theory, Economics, Social and Behav.Sciences; Biophysics; Communications Engineering,Networks; Biomedical Engineering

Target groups


Type of publication

Monograph

Due August 2007

2007. XIV, 368 p. 221 illus. (Springer Series in Synergetics) Hard-

cover

79,95 €

ISBN 978-3-540-71268-8


J. Palmer, University of Arizona, Tucson, AZ, USA

Planar Ising Correlations

Steady progress in recent years has been made in un-derstanding the special mathematical features of cer-tain exactly solvable models in statistical mechanicsand quantum field theory, including the scaling lim-its of the 2-D Ising (lattice) model, and more gen-erally, a class of 2-D quantum fields known as holo-nomic fields. New results have made it possible toobtain a detailed nonperturbative analysis of themulti-spin correlations. In particular, the book fo-cuses on deformation analysis of the scaling func-tions of the Ising model, and will appeal to gradu-ate students, mathematicians, and physicists interest-ed in the mathematics of statistical mechanics andquantum field theory.

Features

Focuses on the new mathematical methods and re-sults of the author and others Places the treatment ofthe Ising model in a mathematically rigorous frame-work Covers an important and active area of re-search

Contents

Preface.- I. Ising Model on a Finite Square Lattice.-II. Infinite Volume Limits.- III. Scaling Limits.- IV.Monodromy Preserving Deformations of the Eu-clidean Dirac Equation.- V. Analysis of Tau Func-tions.- VI. Holonomic Quantum Fields.- Appendix:Infinite Dimensional Spin Groups.- Bibliography.-Index.

Fields of interest

Applications of Mathematics; Statistical Physics;Mathematical Methods in Physics; Probability Theo-ry and Stochastic Processes

Target groups

Graduate students and researchers interested in sta-tistical physics and quantum field theory

Type of publication


Due August 2007

2007. XII, 372 p. 30 illus. (Progress in Mathematical Physics, Vol.

49) Hardcover

79,90 €

ISBN 978-0-8176-4248-8

L. Papantonopoulos, National Technical University of Athens,

Greece (Ed.)

The Invisible Universe: Dark Matter

and Dark Energy

The nature and essence of Dark Matter and Dark En-ergy have become the central issue in modern cos-mology over the past years as they make up mostof the matter and energy content of the known uni-verse. Accordingly, the subject matter is quite natu-rally tied to other fields such as astroparticle physics,quantum physics and general relativity. This exten-sive volume, an outgrowth of a topical and tutorialsummer school, has been set up with the aim of con-stituting an advanced-level, multi-authored textbookwhich meets the needs of both postgraduate studentsand young researchers in the fields of modern cos-mology and astrophysics.

Contents

Part I Dark Matter: The Missing Matter of the Uni-verse as Seen by Astroparticle Physics and Astro-physics.- Part II Dark Energy: The Energy Balanceof the Universe Within the Standard CosmologicalModel.- Part III Dark Matter and Dark Energy Be-yond the Standard Theory of General Relativity.- In-dex.

Fields of interest

Relativity and Cosmology; Physics beyond the Stan-dard Model; Astrophysics

Target groups


Type of publication

Monograph

Due July 2007

2007. XIII, 436 p. Also available online. (Lecture Notes in Physics,

Vol. 720) Hardcover

69,95 €

ISBN 978-3-540-71012-7

P.M. Pardalos, University of Florida, Gainesville, FL, USA; V.L. Bo-

ginski, Florida State University, Tallahassee, FL, USA; A. Vaza-

copoulos, Dash Optimization, Englewood Cliffs, NJ, USA (Eds.)

Data Mining in Biomedicine

This volume presents an extensive collection ofchapters covering various aspects of the exciting andimportant research area of data mining techniquesin biomedicine. The topics include: - new approach-es for the analysis of biomedical data, - applicationsof data mining techniques to real-life problems inmedical practice, - comprehensive reviews of recenttrends in the field. The book addresses the problemsarising in fundamental areas of biomedical research,such as genomics, proteomics, protein characteriza-tion, and neuroscience. This volume would be of in-terest to scientists and practitioners working in thefield of biomedicine, as well as related areas of engi-neering, mathematics, and computer science. It canalso be helpful to graduate students and young re-searchers looking for new exciting directions in theirwork. Since each chapter can be read independently,readers interested in specific problems and applica-tions may find the material of certain chapters useful.

Features

Demonstrates how new data mining methodologiesare successfully applied in real-life biomedical prac-tice, which makes it attractive to both researchersand practitioners

Contents

Preface.- List of Contributors.- Part I. RecentMethodological Developments for Data MiningProblems in Biomedicine.- Part II. Data MiningTechniques in Disease Diagnosis.- Part III. DataMining Studies in Genomics and Proteomics.- PartIV. Characterization and Prediction of Protein Struc-ture.- Part V. Applications of Data Mining Tech-niques to Brain Dynamics Studies.- Index.

Fields of interest

Biomedicine general; Applications of Mathematics;Operations Research, Mathematical Programming;Biomedical Engineering; Statistics for Life Sciences,Medicine, Health Sciences

Target groups

Researchers, practitioners, and graduate students inthe fields of biomedicine, engineering, mathematics,and computer science

Type of publication

Contributed volume

Due March 2007

2007. XVII, 579 p. (Springer Optimization and Its Applications,

Vol. 7) Hardcover

92,95 €

ISBN 978-0-387-69318-7


S. Patnaik, Interscience Institute of Management & Technology,

Bhubaneswar, India

Robot Cognition and Navigation

An Experiment with Mobile Robots

In this book the author employs a cybernetic viewof robot cognition and perception as he examinesmobile robot simulations, realizations and experi-ments, and explains the related mathematical mod-els and algorithms. Chapters are dedicated to mapbuilding, path planning, navigation using genetic al-gorithms, and robot programming packages. Thendetailed chapters examine the programs required forrobot parameter display, gripper control, sonar read-ing display, teleoperation, autonomous navigation,image capture and 3D perception. This book will beuseful for students and engineers building intelligentrobots, and researchers migrating to this field. Therequired source code is included in the book or avail-able online.

Features

Graduates and undergraduates can have a clear andconcise understanding of the robot cognition andsoft computing tools Researchers in this area canstart developing their own program with their al-gorithms without wasting their time on developingfront end and other elementary programs Tutors andProfessionals can use this book as their reference forcomparing the results of various experiments

Contents

Cybernetic View to Robot Cognition.- Map Build-ing.- Path Planning.- Navigation Using Genetic Al-gorithms.- Robot Programming Packages.- RobotParameter Display.- Program for BotSpeak.- GripperControl Program.- Program for Sonar Deading Dis-play.- Program for Wandering within Workspace.-Program for Tele-Operation.- A Complete Programfor Autonomous Navigation.- Imaging Geometry.-Image Capture Program.- Building 3D Perception byKalman Filter.- Program for 3D Perception.- Percep-tion of Non-Planner Surfaces.- Intelligent GarbageCollection.- References.- Index.

Fields of interest

Artificial Intelligence (incl. Robotics); Simulationand Modeling; Computer Imaging, Vision, PatternRecognition and Graphics; Image Processing andComputer Vision; Pattern Recognition; Signal,Imageand Speech Processing

Target groups

Graduates and undergraduates, lecturers, researchers

Type of publication


Due July 2007

2007. XV, 288 p. 95 illus. (Cognitive Technologies) Hardcover

59,95 €

ISBN 978-3-540-23446-3

L.I. Perlovsky, Harvard University, Cambridge, MA, USA; R. Kozma,

University of Memphis, TN, USA (Eds.)

Neurodynamics of Cognition and

Consciousness

This book addresses dynamical aspects of brain func-tions and cognition. Experimental evidence in hu-mans and other mammalians indicates that complexneurodynamics is crucial for the emergence of high-er-level intelligence. Dynamical neural systems withencoding in limit cycle and non-convergent attrac-tors have gained increasing popularity in the pastdecade. The role of synchronization, desynchroniza-tion, and intermittent synchronization on cognitionhas been studied extensively by various authors, inparticular by authors contributing to the present vol-ume. This volume gives an overview of recent ad-vances in this interdisciplinary field of cognitive sci-ence related to dynamics of cognition, including ex-perimental studies, dynamical modelling and inter-pretation of cognitive experiments, and theoreticalapproaches. The following topics are covered in thisbook: spatio-temporal dynamics of neural correlatesof higher-level cognition; dynamical neural memo-ries, including continuous and discrete [..]

Features

Addresses the operation and design of intelligent sys-tems from a dynamic perspective Triggered by dis-cussions at the Session Special on “Neurodynam-ics of Higher-Level Cognitive Behavior” at the 2006World Conference on Computational Intelligence

Contents

Neurodynamics of Cognition and Consciousness.-Part I: Neurocognition and Human Consciousness.-Proposed Cortical "Shutter" Mechanism in Cine-matographic Perception.- Toward a ComplementaryNeuroscience: Metastable Coordination Dynamicsof the Brain.- The Formation of Global Neurocogni-tive State.- Neural Dynamic Logic of Consciousness:the Knowledge Instinct.- Cortical Circuits of Cogni-tion and Consciousness.- Using ADP to Understandand Replicate Brain Intelligence: the Next Level De-sign?.- Neurodynamics of Intentional Behavior Gen-eration.- How Does the Brain Create, Change, and[..]

Fields of interest

Appl.Mathematics/Computational Methods of En-gineering; Nonlinear Dynamics, Complex Systems,Chaos, Neural Networks; Artificial Intelligence (incl.Robotics)

Target groups

Researchers, engineers, graduate students in com-putational intelligence, and computer science; en-gineers, cognitive scientists, and neuroscientics;roboticists

Type of publication

Monograph

Due August 2007

2007. XI, 366 p. 139 illus. (Understanding Complex Systems)

Hardcover

79,95 €

ISBN 978-3-540-73266-2

M. Pettini, Osservatorio Astrofisico di Arcetri, Firenze, Italy

Geometry and Topology in

Hamiltonian Dynamics and

Statistical Mechanics

This book explores the foundations of hamiltoni-an dynamical systems and statistical mechanics, inparticular phase transitions, from the point of viewof geometry and topology. A broad participation oftopology in these fields has been lacking and thisbook will provide a welcome overview of the currentresearch in the area, in which the author himself isa pioneer. Using geometrical thinking to solve fun-damental problems in these areas, compared to thepurely analytical methods usually used in physicscould be highly productive. The author skillfullyguides the reader, whether mathematician or physi-cists through the background needed to understandand use these techniques.

Features

The subject of the book is very original and nothingsimilar has been written hitherto Will be of interestto both mathematicians and physicists Numerous il-lustrations throughout

Contents

Foreword.- Preface.- Introduction.- Background inPhysics.- Geometrization of Hamiltonian Dynam-ics.- Integrability.- Geometry and chaos.- Geometryof chaos and phase transitions.- Topological Hypoth-esis on the origin of phase transitions.- Geometry,topology and thermodynamics.- Phase transitionsand topology: necessity theorems.- Phase transitionsand topology: exact results.- Future developments.-Appendix 1: Elements of geometry and topology ofdifferentiable manifolds.- Appendix 2: Elements ofRiemannian geometry.- Appendix 3: Summary of el-ementary Morse theory.- References.

Fields of interest

Dynamical Systems and Ergodic Theory; Mathemat-ical Methods in Physics; Quantum Physics; Applica-tions of Mathematics; Statistical Physics

Target groups


Type of publication

Monograph

Due August 2007

2007. XVI, 451 p. (Interdisciplinary Applied Mathematics, Vol. 33)

Hardcover

59,95 €

ISBN 978-0-387-30892-0


A. Pietsch, University of Jena, Germany

History of Banach Spaces and

Linear Operators

Written by a distinguished specialist in functionalanalysis, this book presents a comprehensive treat-ment of the history of Banach spaces and (abstractbounded) linear operators. Banach space theory ispresented as a part of a broad mathematics context,using tools from such areas as set theory, topolo-gy, algebra, combinatorics, probability theory, log-ic, etc. Equal emphasis is given to both spaces andoperators. The book may serve as a reference for re-searchers and as an introduction for graduate stu-dents who want to learn Banach space theory withsome historical flavor.

Features

Written by a distinguished specialist in functionalanalysis, the text is a comprehensive treatment of thehistory of Banach spaces and linear operators Oth-er comprehensive texts on Banach spaces focus ondevelopments before 1950, while this one is main-ly devoted to the second half of the twentieth centu-ry Numerous examples and counterexamples Con-tains many problems which have not been previouslysolved May [..]

Contents

Preface.- Acknowledgements.- Introduction.- TheBirth of Banach Spaces.- Historical Roots and Ba-sic Results.- Weak Topologies.- Classical BanachSpaces.- Basic Results from the Post-Banach Peri-od.- Modern Banach Space Theory – Selected Top-ics.- Miscellaneous Topics.- Mathematics is Made byMathematicians.- Chronology.- Quotations.- Bibli-ography.- Index.

Fields of interest

History of Mathematics; Functional Analysis; Opera-tor Theory

Target groups

Graduate students and researchers interested inFunctional Analysis, Operator Theory, and the His-tory of Mathematics

Type of publication

Monograph

Due April 2007

2007. XXIII, 855 p. 82 illus. Hardcover

109,00 €

ISBN 978-0-8176-4367-6

S. Polovina, Sheffield Hallam University, UK; R. Hill, Sheffield Hal-

lam University, UK; U. Priss, Napier University, Edinburgh, UK

(Eds.)

Conceptual Structures: Knowledge

Architectures for Smart

Applications

15th International Conference on Conceptual Structures, ICCS

2007, Sheffield, UK, July 22-27, 2007, Proceedings

This book constitutes the refereed proceedings of the15th International Conference on Conceptual Struc-tures, ICCS 2007, held in Sheffield, UK in July 2007.The 28 revised full papers and 13 revised short pa-pers presented together with 4 invited papers and1 introductory talk were carefully reviewed and se-lected from about 60 submissions. A special focus isgiven to application of conceptual structures in busi-ness and technological settings; other papers coverresearch into conceptual structures, which is sup-ported by mathematical and computational theory,including formal concept analysis, algorithm designand graph theory, and a variety of software tools. Thepapers are organized in topical sections on concep-tual graphs, formal concept analysis, and conceptualstructures.

Fields of interest

Artificial Intelligence (incl. Robotics); DiscreteMathematics in Computer Science; MathematicalLogic and Formal Languages; Algorithm Analysisand Problem Complexity; Information Systems Ap-plications (incl.Internet)

Target groups


Type of publication

Proceedings

Due July 2007


Softcover

64,00 €

ISBN 978-3-540-73680-6

S. Povaly, JP Morgan, London, UK

Private Equity Exits

Divestment Process Management for Leveraged Buyouts

Private Equity Exits provides the first comprehensiveanalysis of private equity divestment processes – so-called 'exits' – for European buyouts. The work is de-signed as a compendium of current scientific knowl-edge on portfolio company exits and also providesdeeper insights into various aspects of divestmentprocesses, which is underpinned by own extensiveempirical analysis and findings. Examining the ef-ficiency of exits, this book offers recommendationsand guidelines for an integrated and exit-orientedprivate equity portfolio management and providesa detailed assessment of exit decision drivers. Find-ings contribute to a clearer understanding and betterpredictability of exit behavior. The work highlightsthe growing need for pro-active as well as thoroughlyplanned divestment strategies, efficient executions,and the importance and value of paying attention al-so to other stakeholders’ interests when selling stakesin businesses.

Features

Provides the first comprehensive analysis of privateequity divestment processes - so-called 'exits' - forEuropean buyouts

Contents

Introduction.- Background.- Theoretical Foundationand Literature Review.- The Exit Process: ReducingExposure to a Portfolio Company.- Empirical Analy-sis: Exit Behaviour and Efficiency.- Conclusion.

Fields of interest

Finance /Banking; Quantitative Finance

Target groups

Researchers and practitioners in the area of privateequity portfolio management

Type of publication

Monograph

Due March 2007

2007. XI, 413 p. Hardcover

89,95 €

ISBN 978-3-540-70953-4


F.P. Preparata, Brown University, Providence, RI, USA; Q. Fang,

Ocean University of China, Qingdao, China (Eds.)

Frontiers in Algorithmics

First Annual International Workshop, FAW 2007, Lanzhou, Chi-

na, August 1-3, 2007, Proceedings

This book constitutes the refereed proceedings ofthe First Annual International Frontiers of Algorith-mics Workshop, FAW 2007, held in Lanzhou, Chinain August 2007. The 33 revised full papers presentedwere carefully reviewed and selected from 141 sub-missions. The papers were selected for 9 special focustracks in the areas of bioinformatics, discrete struc-tures, geometric information processing and com-munication, games and incentive analysis, graph al-gorithms, internet algorithms and protocols, param-eterized algorithms, design and analysis of heuristics,approximate and online algorithms, and algorithmsin medical applications.

Fields of interest

Algorithm Analysis and Problem Complexity; Dis-crete Mathematics in Computer Science; NumericComputing; Computer Graphics; Computational Bi-ology/Bioinformatics; Algorithms

Target groups


Type of publication

Proceedings

Due July 2007

2007. XI, 348 p. Also available online. (Lecture Notes in Computer


52,00 €

ISBN 978-3-540-73813-8

C. Prévôt, University of Bielefeld, Germany; M. Röckner, Universi-

ty of Bielefeld, Germany

A Concise Course on Stochastic

Partial Differential Equations

These lectures concentrate on (nonlinear) stochas-tic partial differential equations (SPDE) of evolution-ary type. All kinds of dynamics with stochastic influ-ence in nature or man-made complex systems can bemodelled by such equations. To keep the technicali-ties minimal we confine ourselves to the case wherethe noise term is given by a stochastic integral w.r.t.a cylindrical Wiener process.But all results can beeasily generalized to SPDE with more general noisessuch as, for instance, stochastic integral w.r.t. a con-tinuous local martingale. There are basically threeapproaches to analyze SPDE: the "martingale mea-sure approach", the "mild solution approach” and the"variational approach". The purpose of these notes isto give a concise and as self-contained as possible anintroduction to the "variational approach”. A largepart of necessary background material, such as defi-nitions and results from the theory of Hilbert spaces,are included in appendices.

Contents

Motivation, Aims and Examples.- Stochastic Inte-gral in Hilbert spaces.- Stochastic Differential Equa-tions in Finite Dimensions.- A Class of StochasticDifferential Equations in Banach Spaces.- Appen-dices: The Bochner Integral.- Nuclear and Hilbert-Schmidt Operators.- Pseudo Invers of Linear Oper-ators.- Some Tools from Real Martingale Theory.-Weak and Strong Solutions: the Yamada-WatanabeTheorem.- Strong, Mild and Weak Solutions.

Fields of interest

Partial Differential Equations; Probability Theoryand Stochastic Processes

Target groups

Researchers and graduate students in mathematics,physics and economics

Type of publication

Monograph

Due June 2007

2007. VI, 144 p. (Lecture Notes in Mathematics, Vol. 1905) Soft-

cover

29,95 €

ISBN 978-3-540-70780-6

P. Pucci, Università degli Studi di Perugia, Italy; J. Serrin, Universi-

ty of Minnesota, MN, USA

The Maximum Principle

Maximum principles are bedrock results in the theo-ry of second order elliptic equations. This principle,simple enough in essence, lends itself to a quite re-markable number of subtle uses when combined ap-propriately with other notions. Intended for a wideaudience, the book provides a clear and comprehen-sive explanation of the various maximum principlesavailable in elliptic theory, from their beginning forlinear equations to recent work on nonlinear andsingular equations.

Features

The only book containing a detailed description ofmodern work on the maximum principle for nonlin-ear elliptic differential equations Contains applica-tions to the celebrated symmetry question, to ellip-tic dead core phenomena, uniqueness theorems, theHarnack inequality and the compact support princi-ple

Contents

Introduction.- Tangency and Comparison Theo-rems for Elliptic Inequalities.- Maximum Principles.-Boundary Value Problems.- The Strong MaximumPrinciple.- Non-homogeneous Divergence Struc-ture Inequalities.- The Harnack Inequality.- Applica-tions.- Bibliography.

Fields of interest

Potential Theory; Partial Differential Equations

Target groups

Graduate students and researchers in analysis andgeometry

Type of publication

Monograph

Due September 2007

2007. X, 234 p. (Progress in Nonlinear Differential Equations and

Their Applications, Vol. 73) Hardcover

49,90 €

ISBN 978-3-7643-8144-8


I. Queinnec, LAAS-CNRS, Toulouse, France; S. Tarbouriech, LAAS-

CNRS, Toulouse, France; G. Garcia, LAAS-CNRS, Toulouse, France;

S.-I. Niculescu, CNRS-Supélec, Gil-sur-Yvette, France (Eds.)

Biology and Control Theory:

Current Challenges

Creating some links between control feedback andbiology modeling communities based on similaritiesin modeling, observing and perceiving alive struc-tures, and analyzing interconnections between bio-logical structures and subsystems was the main ob-jective of this volume. In this context, biology sys-tems need appropriate analysis tools due to theirstructure and hierarchy, complexity and environ-ment interference, and we believe that these aspectsmay generate interesting research topics in controlarea. Indeed, several works, raising the potential im-pact of control developments to bring some begin-ning of answers in the context of biological systems,have been published in the recent years. The idea ofthis book was conceived in the context mentionedabove with the objective to help in claiming manyof the problems for control researchers, starting dis-cussions and opening interactive debates betweenthe control and biology communities, and, finally, toalert graduate students to the many interesting [..]

Features

Hot topic of current interest in a variety of researchcommunities Outcome of a workshop CNRS-NSFon biology and control theory, bringing together asmall number of key researchers from biology andthe control community

Contents

Part I Model selection.- Mini-Transplants forChronic Myelogenous Leukemia: A Modeling Per-spective.- Modeling of the HIV/AIDS infection : anaid for an early diagnosis of patients.- A multiscalemodel for the selection control of ovulatory follicles.-Robotics Insights for the Modeling of Visually Guid-ed Hand Movements in Primates.- Part II Modelsfor system analysis.- Monotone and near-monotonesystems.- System and control theory furthers the un-derstanding of biological signal transduction.- Piece-wise-linear models of genetic regulatory networks:theory and example.- Modelling and [..]

Fields of interest


Target groups


Type of publication

Monograph

Due June 2007



93,41 €

ISBN 978-3-540-71987-8

P. Quittner, University of Bratislava, Slovakia; P. Souplet, Univer-

sité Paris XIII, France

Superlinear Parabolic Problems

Blow-up, Global Existence and Steady States

This book is devoted to the qualitative study of so-lutions of superlinear elliptic and parabolic par-tial differential equations and systems. This class ofproblems contains, in particular, a number of reac-tion-diffusion systems which arise in various mathe-matical models, especially in chemistry, physics andbiology. The book is self-contained and up-to-date, ithas a high didactic quality. It is devoted to problemsthat are intensively studied but have not been treat-ed so far in depth in the book literature. The intend-ed audience includes graduate and postgraduate stu-dents and researchers working in the field of partialdifferential equations and applied mathematics.

Features

Self-contained and up-to-date, taking special care onthe didactical preparation of the material Devoted toproblems that are intensively studied but have notbeen treated so far in depth in the book literature

Contents

Introduction. I. Elliptic Problems.- II. ParabolicProblems.- III. Systems.- IV. Equations With Gra-dient Terms.- V. Nonlocal Problems.- Appendices.-References.

Fields of interest

Partial Differential Equations; Potential Theory;Functional Analysis

Target groups

Graduate and postgraduate students, researchers inpartial differential equations and applied mathemat-ics

Type of publication


Due August 2007

2007. XI, 584 p. (Birkhäuser Advanced Texts / Basler Lehrbücher)

Hardcover

69,90 €

ISBN 978-3-7643-8441-8

A.I. Ramírez Galarza, Universidad Nacional Autónoma de México;

J. Seade, Universidad Nacional Autónoma de México

Introduction to Classical

Geometries

This book follows Klein’s proposal of studying ge-ometry by looking at the symmetries (or rigid mo-tions) of the space in question. In this way the classi-cal geometries are studied: Euclidean, affine, elliptic,projective and hyperbolic. For simplicity the focus ison the two-dimensional case, which is already richenough, though some aspects of the 3 or $n$-dimen-sional geometries are included. Once plane geometryis well understood, it is much easier to go into higherdimensions. The book appeals to, and develops, thegeometric intuition of the reader. Some basic notionsof algebra and analysis are also used to get better un-derstandings of various concepts and results.

Features

Presents all the classical geometries in a unified way,with many illustrations, thus making their under-standing easier Though the proofs and argumentsare in general absolutely rigorous, emphasis is put onthe concepts and the ideas, not on the technical diffi-culties Presentation of several advanced concepts ofgeometry in a very simple way, so that they becomeeasily accessible: the only pre-requisites are [..]

Contents

Preface.- 1. Euclidean Geometry.- 2. Affine Geome-try.- 3. Projective Geometry.- 4. Hyperbolic Geome-try.- Appendices.- Bibliography.- Index.

Fields of interest

Geometry

Target groups

Students, graduate students

Type of publication


Due March 2007

Original Spanish edition published by Las Prensas de Ciencia of

the Universidad Nacional Autónoma de M'exico

2007. VIII, 219 p. Softcover

29,90 €

ISBN 978-3-7643-7517-1


M. Rasmussen, University of Augsburg, Germany

Attractivity and Bifurcation for

Nonautonomous Dynamical

Systems

Although, bifurcation theory of equations with au-tonomous and periodic time dependence is a ma-jor object of research in the study of dynamical sys-tems since decades, the notion of a nonautonomousbifurcation is not yet established. In this book, twodifferent approaches are developed which are basedon special definitions of local attractivity and repul-sivity. It is shown that these notions lead to nonau-tonomous Morse decompositions, which are usefulto describe the global asymptotic behavior of systemson compact phase spaces. Furthermore, methodsfrom the qualitative theory for linear and nonlinearsystems are derived, and nonautonomous counter-parts of the classical one-dimensional autonomousbifurcation patterns are developed.

Contents

Introduction.- Preliminaries.- Notions of Attractivi-ty Repulsivity, Bifurcation and Transition.- Nonau-tonomous Morse Decompositions.- Linear Systems.-Nonlinear Systems.- Bifurcations in DimensionOne.- Bifurcations of Asymptotically AutonomousSystems.- Appendix.- Bibliography.

Fields of interest

Ordinary Differential Equations; Dynamical Systemsand Ergodic Theory

Target groups

Researchers and graduate students in analysis

Type of publication

Monograph

Due June 2007

2007. XI, 212 (Lecture Notes in Mathematics, Vol. 1907) Softcover

39,95 €

ISBN 978-3-540-71224-4

R.-D. Reiss, University of Siegen, Germany; M. Thomas, University

of Siegen, Germany

Statistical Analysis of Extreme

Values

with Applications to Insurance, Finance, Hydrology and Other

Fields

The statistical analysis of extreme data is importantfor various disciplines, including hydrology, insur-ance, finance, engineering and environmental sci-ences. This book provides a self-contained introduc-tion to the parametric modeling, exploratory analysisand statistical interference for extreme values. Theentire text of this third edition has been thorough-ly updated and rearranged to meet the new require-ments. Additional sections and chapters, elaboratedon more than 100 pages, are particularly concernedwith topics like dependencies, the conditional anal-ysis and the multivariate modeling of extreme data.Parts I–III about the basic extreme value methodol-ogy remain unchanged to some larger extent, yet no-table are, e.g., the new sections about "An Overviewof Reduced-Bias Estimation" (co-authored by M.I.Gomes), "The Spectral Decomposition Methodolo-gy", and "About Tail Independence" (co-authored byM. Frick), and the new chapter about "Extreme Val-ue Statistics of Dependent Random Variables" [..]

Features

Includes the statistical MS Windows applicationAcademic Xtremes 4.1 and StatPascal on a CD With-in the applied parts of the book one will find newchapters about Environmental Sciences (co-authoredby R.W. Katz) and Conditional Approaches to Fi-nancial Data "The present book is a valuable contri-bution to the various theoretical and applied prob-lems in the area of extreme value theory...a pleasureto read." [..]

Contents

Preface.- I. Modeling and Data Analysis.- II. Statisti-cal Interference in Parametric Models.- III. Elementsof Multivariate Statistical Analysis.- IV. Topics inHydrology, Insurance and Finance.- V. Case Studiesin Extreme Value Analysis.- Index.- Bibliography.

Fields of interest

Probability Theory and Stochastic Processes; Statis-tical Theory and Methods; Statistics and Comput-ing/Statistics Programs; Statistics for Business/Eco-nomics/Mathematical Finance/Insurance

Target groups

Students, researchers and practitioners

Type of publication


Due June 2007

2007. XVII, 511 p. 130 illus. With CD-ROM. Softcover

59,90 €

ISBN 978-3-7643-7230-9

J. Reyn, Delft University of Technology, The Netherlands

Phase Portraits of Planar Quadratic

Systems

Although some examples of phase portraits ofquadratic systems can already be found in the workof Poincaré, the first paper dealing exclusively withthese systems was published by Büchel in 1904. Bythe end of the 20th century an increasing flow ofpublications resulted in nearly a thousand papers onthe subject. This book attempts to give a presentationof the advance of our knowledge of phase portraitsof quadratic systems, paying special attention to thehistorical development of the subject. The book or-ganizes the portraits into classes, using the notions offinite and infinite multiplicity and finite and infiniteindex. Classifications of phase portraits for variousclasses are given using the well-known methods ofphase plane analysis.

Features

Only book that gives a framework for classifyingphase portraits of planar quadratic systems, includ-ing recent results

Contents

1. Introduction.- 2. Critical Points in Quadratic Sys-tems.- 3. Isoclines, Critical Points and Classes ofQuadratic Systems.- 4. Analyzing Phase Portraits ofQuadratic Systems.- 5. Phase Portraits of QuadraticSystems in the Class mf = 0.- 6. Quadratic Systemswith a Center Point.- 7. Limit Cycles in QuadraticSystems.- 8. Phase Portraits of Quadratic Systemsin the Class mf = 1.- 9. Phase Portraits of Quadrat-ic Systems in the Class mf = 2.- 10. Phase Portraitsof Quadratic Systems in the Class mf = 3.- 11. PhasePortraits of Quadratic Systems in the Class mf = 4.-References.

Fields of interest

Ordinary Differential Equations; Dynamical Systemsand Ergodic Theory; Genetics and Population Dy-namics

Target groups

Mathematics graduate students and researchersstudying Quadratic Systems

Type of publication

Reference work

Due April 2007

2007. XVI, 334 p. (Mathematics and Its Applications, Vol. 583)

Hardcover

114,95 €

ISBN 978-0-387-30413-7


B.E. Reynolds, Cardinal Stritch University, Milwaukee, WI, USA;

W.E. Fenton, Bellarmine University, Louisville, KY, USA

College Geometry Using The

Geometer's Sketchpad®

College Geometry Using The Geometer'sSketchpad(R) is unique in its truly discovery basedapproach to learning geometry with complete inte-gration of Sketchpad. Through explorations of topicsranging from triangles and circles to transformation-al, taxicab, and hyperbolic geometries, students honetheir understanding of geometry and their abilityto write rigorous mathematical proofs. It is an idealtext for students planning to teach at the middle orsecondary level. Each chapter follows the same for-mat to best promote active learning: - Activities openeach chapter allowing students the opportunity toexplore topics and make conjectures using Sketchpad- Discussions cover important theorems and con-cepts that solidify the conjectures made in the activi-ties - Exercises reinforce the discussions and advancestudent expertise with Sketchpad - Each new copy ofthe book is packaged with a valuable CD-ROM withSketchpad documents that relate directly to the ma-terial in the text - These multi-page [..]

Features

Full integration of Sketchpad, and a true discov-ery-based approach to the subject The authors arestrong believers in technology, collaborative learn-ing, and activities Activities open each chapter. Stu-dents learn GSP and geometry at the same time De-tailed Discussions solidify student conjectures madein the activities Exercise sets at the end of each chap-ter reinforce the topics Chapter summaries concludethe [..]

Contents

Using The Geometer’s Sketchpad: Exploration andConjecture.- Mathematical Arguments and Trian-gle Geometry.- Circle Geometry, Robust Construc-tions, and Proofs.- Analytic Geometry.- Taxicab Ge-ometry.-Transformational Geometry.- Isometriesand Matrices.- Symmetry in the Plane.- The Hyper-bolic Plane.- Projective Geometry.- Appendix A-Trigonometry.- Appendix B- Calculating with Matri-ces.

Fields of interest

Geometry

Target groups

Students and future secondary teachers, practitioners

Type of publication


Due May 2007

2006. XX, 300 p. With CD-ROM. Softcover

66,95 €

ISBN 978-1-931914-54-3

S. Rjasanow, Universitaet des Saarlandes, Saarbrücken, Germany;

O. Steinbach, Technische Universitaet Graz, Austria

The Fast Solution of Boundary

Integral Equations

Boundary Element Methods (BEM) play an impor-tant role in modern numerical computations in theapplied and engineering sciences. These methodsturn out to be powerful tools for numerical stud-ies of various physical phenomena which can be de-scribed mathematically by partial differential equa-tions. The most prominent example is the potentialequation (Laplace equation), which is used to mod-el physical phenomena in electromagnetism, gravi-tation theory, and in perfect fluids. A further appli-cation leading to the Laplace equation is the modelof steady state heat flow. One of the most popularapplications of the BEM is the system of linear elas-tostatics, which can be considered in both boundedand unbounded domains. A simple model for a fluidflow, the Stokes system, can also be solved by the useof the BEM. The most important examples for theHelmholtz equation are the acoustic scattering andthe sound radiation. The Fast Solution of BoundaryIntegral Equations provides a detailed description offast [..]

Features

Provides an exact mathematical description of vari-ous mathematical formulations and numerical meth-ods for boundary integral equations in the three-di-mensional case in a unified and compact form a sys-tematic numerical treatment of a variety of bound-ary value problems for the Laplace equation, for thesystem of linear elastostatics, and for the Helmholtzequation. Numerous examples representing standard[..]

Contents

Boundary Integral Equations.- Boundary ElementMethods.- Approximation of Boundary Element Ma-trices.- Implementation and Numerical Examples.

Fields of interest

Appl.Mathematics/Computational Methods of Engi-neering; Applications of Mathematics; Mathematicaland Computational Physics; Image Processing andComputer Vision; Ordinary Differential Equations

Target groups

Graduate students, researchers and professionals

Type of publication

Monograph

Due May 2007

2007. XI, 279 p. (Mathematical and Analytical Techniques with

Applications to Engineering) Hardcover

114,95 €

ISBN 978-0-387-34041-8

Th.G. Robertazzi, Stony Brook University, Stony Brook, NY, USA

Networks and Grids

Technology and Theory

This textbook is intended for an undergradu-ate/graduate course on computer networks and forintroductory courses dealing with performance eval-uation of computers, networks, grids and telecom-munication systems. Unlike other books on the sub-ject, this text presents a balanced approach betweentechnology and mathematical modeling. It coversnetworking and grid technology, algorithms (rout-ing, error codes, protocol verification) and analysis(probability for networking with technological ex-amples, queueing models and divisible load schedul-ing theory). This self-contained text progresses sys-tematically and gives students numerous problemsat the end of each chapter. Students in electrical en-gineering, computer engineering and computer sci-ence departments will benefit from this book as willengineers and computer scientists working in rele-vant fields. A separate solutions manual is availableto instructors.

Features

Presents a balanced approach between technologyand mathematical modeling Systematic presentationwith numerous examples and problems for students

Contents

Preface.- A Tour through Networking and Grids.-Fundamental Stochastic Models.- Queuing Models.-Fundamental Deterministic Algorithms.- DivisibleLoad Modeling for Grids.- Appendix A: SummationFormulas.- References.- Index.

Fields of interest

Communications Engineering, Networks; Applica-tions of Mathematics; Computer CommunicationNetworks; System Performance and Evaluation

Target groups

Undergraduate and graduate students in computerscience, electrical or computer engineering

Type of publication


Due September 2007

2007. XII, 284 p. 115 illus. (Information Technology: Transmis-

sion, Processing and Storage) Hardcover

62,95 €

ISBN 978-0-387-36758-3


B. Roberts, University of Idaho, Moscow, ID, USA; R. Schmidt, Uni-

versity of Oklahoma, Norman, OK, USA

Local Newforms for GSp(4)

Local Newforms for GSp(4) describes a theory ofnew- and oldforms for representations of GSp(4)over a non-archimedean local field. This theory con-siders vectors fixed by the paramodular groups, andsingles out certain vectors that encode canonical in-formation, such as L-factors and epsilon-factors,through their Hecke and Atkin-Lehner eigenvalues.While there are analogies to the GL(2) case, this the-ory is novel and unanticipated by the existing frame-work of conjectures. An appendix includes extensivetables about the results and the representation theoryof GSp(4).

Contents

Summary.- Representation Theory.- ParamodularVectors.- Zeta Integrals.- Non-supercuspidal Repre-sentations.- Hecke Operators.- Proofs of the MainTheorems.- Tables for Representations of GSp(4).-References.- Index.

Fields of interest

Number Theory; Topological Groups, Lie Groups

Target groups

Researchers and graduate students in number theo-ry, representation theory, and Siegel modular formstheory

Type of publication

Monograph

Due August 2007


cover

49,95 €

ISBN 978-3-540-73323-2

W.A.J. Rodrigues, Universidade Estadual Campinas, Campinas,

Brazil; E.C.d. Oliveira, Universidade Estadual Campinas, Camp-

inas, Brazil

The Many Faces of Maxwell, Dirac

and Einstein Equations

A Clifford Bundle Approach

This book is a thoughtful exposition of the algebraand calculus of differential forms, the Clifford andSpin-Clifford bundles formalisms with emphasis incalculation procedures, and vistas to a formulationof some important concepts of differential geome-try necessary for a deep understanding of spacetimephysics. The formalism discloses the hidden geomet-rical nature of spinor fields. Maxwell, Dirac and Ein-stein fields, which were originally considered objectsof a very different mathematical nature, are shownto have representatives as objects of the same mathe-matical nature, i.e. as sections of an appropriate Clif-ford bundle. This approach reveals unity in the di-versity and also the many faces of the equations sat-isfied by those fields. Moreover, it suggests relation-ships which are hidden in the standard formalismsand new paths for research. Some foundational is-sues of relativistic field theories, in particular the oneconcerning the conditions for the existence of theconservation laws of [..]

Features

Comprehensive reference on differential geometryBased upon the common mathematical features ofMaxwell, Dirac and Einstein Equations Calculationprocedures are illustrated by many exercises solvedin detail

Contents

Introduction.- Multiform and Extensor Calcula.-The Hidden Geometrical Nature of Spinors.- SomeDifferential Geometry.- The Hidden GeometricalNature of Spinors.- Some Differential Geometry.-Some Issues in Relativistic Spacetime Theories.- Clif-ford and Dirac-Hestenes Spinor Fields.- LagrangianFormalism in Minkowski Spacetime.- ConservationLaws on Riemann-Cartan and Lorentzian Space-times.- The DHE on a RCS and the Meaning of Ac-tive Local Lorentz Invariance.- Gravitational Theo-ry in Minkowski Spacetime.- On the Many Faces ofEinstein`s Equations.- Maxwell, Dirac and Seiberg-Witten [..]

Fields of interest

Mathematical Methods in Physics; Relativity andCosmology; Differential Geometry

Target groups

Researchers, graduate students in theoretical physicsand mathematics

Type of publication

Monograph

Due July 2007

2007. XIV, 445 p. Also available online. (Lecture Notes in Physics,

Vol. 722) Hardcover

69,95 €

ISBN 978-3-540-71292-3

J. Sabatier, Université de Bordeaux I, Talence, France; O.P. Agraw-

al, Southern Illinois University, Carbondale, IL, USA; J.A. Tenreiro

Machado, Institute of Engineering of Porto, Portugal (Eds.)

Advances in Fractional Calculus

Theoretical Developments and Applications in Physics and

Engineering

In the last two decades, fractional (or non integer)differentiation has played a very important role invarious fields such as mechanics, electricity, chem-istry, biology, economics, control theory and sig-nal and image processing. For example, in the lastthree fields, some important considerations suchas modelling, curve fitting, filtering, pattern recog-nition, edge detection, identification, stability, con-trollability, observability and robustness are nowlinked to long-range dependence phenomena. Simi-lar progress has been made in other fields listed here.The scope of the book is thus to present the state ofthe art in the study of fractional systems and the ap-plication of fractional differentiation. As this volumecovers recent applications of fractional calculus, itwill be of interest to engineers, scientists, and appliedmathematicians.

Features

Fractional Calculus is a new growing field. Up tothis point, researchers, scientists, and engineers havebeen reluctant to accept the fact that Fractional Cal-culus can be used in the analysis and design of manysystems of practical interests, whereas in similar ap-plications the traditional calculus either fails or pro-vides poor solutions Many engineers, scientists, andapplied mathematicians are looking for [..]

Fields of interest

Appl.Mathematics/Computational Methods of Engi-neering; Simulation and Modeling; Systems Theory,Control; Mathematical and Computational Physics;Mechanical Engineering; Electronic and ComputerEngineering

Target groups

Engineers (from various fields), physicists, (applied)mathematicians working in research laboratories;design divisions of companies, university researchteams

Type of publication

Contributed volume

Due July 2007

2007. XIII, 552 p. Hardcover

159,95 €

ISBN 978-1-4020-6041-0


F.B. Sachse, University of Utah, Salt Lake City, UT, USA; G. See-

mann, University of Karlsruhe, Germany (Eds.)

Functional Imaging and Modeling

of the Heart

4th International Conference, Salt Lake City, UT, USA, June

7-9, 2007

This book constitutes the refereed proceedings of the4th International Conference on Functional Imagingand Modeling of the Heart, FIMH 2007, held in SaltLake City, UT, USA in June 2007. The 48 revised fullpapers presented were carefully reviewed and select-ed from numerous submissions. The contributionsdescribe both experimental and computational stud-ies and cover topics such as imaging and image anal-ysis, cardiac electrophysiology, electro- and magne-tocardiography, cardiac mechanics and clinical ap-plication, imaging and anatomical modeling.

Fields of interest

Image Processing and Computer Vision; Simulationand Modeling; Artificial Intelligence (incl. Robotics);Computational Biology/Bioinformatics; Imaging /Radiology; Cardiology

Target groups


Type of publication

Proceedings

Due May 2007

2007. XV, 486 p. Also available online. (Lecture Notes in Comput-


64,00 €

ISBN 978-3-540-72906-8

G. Salvadori, Università del Salento, Italy; C. De Michele, Politec-

nico di Milano, Italy; N.T. Kottegoda, Politecnico di Milano, Italy;

R. Rosso, Politecnico di Milano, Italy

Extremes in Nature

An Approach Using Copulas

The study of the statistics of extreme events is an es-sential first step in the mitigation of natural catastro-phies, that often cause severe economic losses world-wide. This book is about the theoretical and practi-cal aspects of the statistics of Extreme Events in Na-ture. Most importantly, this is the first text in whichCopulas are introduced and used in Geophysics. Sev-eral topics are fully original, and show how standardmodels and calculations can be improved by exploit-ing the opportunities offered by Copulas. In addi-tion, new quantities useful for design and risk assess-ment are introduced. Practicioners in all research ar-eas of Geosciences and extreme events (including Fi-nance and Insurance, closely related to natural disas-ters) will definitely benefit from the new Copula-ap-proach outlined in the book.

Features

Topics treated are diverse and of wide practical sig-nificance Clear exposition of theoretical backgroundApplication of copulas Nonstationary, bivariate andmultivariate methods Treatment of natural disasters

Contents

1 Univariate Extreme Value Theory.- 2 Multivari-ate Extreme Value Theory.- 3 Bivariate Analysis ViaCopulas.- 4 Multivariate Analysis Via Copulas.- 5Extreme Value Analysis Via Copulas.- A: SimulationOf Copulas. B: Dependence. C: Families Of Copu-las.- References. Index.- Glossary.

Fields of interest

Math. Applications in Geosciences; Nonlinear Dy-namics, Complex Systems, Chaos, Neural Networks;Geophysics/Geodesy; Applications of Mathematics;Statistics for Business/Economics/Mathematical Fi-nance/Insurance

Target groups

Geophysicists, researchers, postgraduates and finalyear undergraduates in Geosciences

Type of publication

Monograph

Due June 2007

2007. XIV, 292 p. (Water Science and Technology Library, Vol. 56)

Hardcover

99,95 €

ISBN 978-1-4020-4414-4

J.A. Sanders, Free University of Amsterdam, The Netherlands; F.

Verhulst, State University of Utrecht, The Netherlands; J. Mur-

dock, Iowa State University, Ames, IA, USA

Averaging Methods in Nonlinear

Dynamical Systems

Perturbation theory and in particular normal formtheory has shown strong growth during the lastdecades. So it is not surprising that the authors havepresented an extensive revision of the first editionof the Averaging Methods in Nonlinear Dynami-cal Systems book. There are many changes, correc-tions and updates in chapters on Basic Material andAsymptotics, Averaging, and Attraction. Chapterson Periodic Averaging and Hyperbolicity, Classical(first level) Normal Form Theory, Nilpotent (classi-cal) Normal Form, and Higher Level Normal FormTheory are entirely new and represent new insightsin averaging, in particular its relation with dynam-ical systems and the theory of normal forms. Alsonew are surveys on invariant manifolds in AppendixC and averaging for PDEs in Appendix E. Since thefirst edition, the book has expanded in length andthe third author, James Murdock has been added.Review of First Edition "One of the most striking fea-tures of the book is the nice collection of examples,which [..]

Features

Well regarded earlier book, well known authors

Contents

Basic Material and Asymptotics.- Averaging: the Pe-riodic Case.- Methodology of Averaging.- Averag-ing: General Case.- Attraction.- Periodic Averagingand Hyperbolicity.- Averaging Over Angles.- Pas-sage Through Resonance.- From Averaging to Nor-mal Forms.- Hamiltonian Normal Form Theory.-Classical (First Level) Normal Form Theory.- Nilpo-tent (Classical) Normal Form.- Higher Level Nor-mal Form Theory.- A. The The History of theTheory of Averaging.- B. A 4-dimensional Exampleof Hopf Bifurcation.- C. Invariant Manifolds by Av-eraging.- D. Celestial Mechanics.- E. On AveragingMethods [..]

Fields of interest

Dynamical Systems and Ergodic Theory; Partial Dif-ferential Equations; Mathematical and Computa-tional Physics; Analysis

Target groups


Type of publication

Monograph

Due July 2007

2007. XXIII, 431 p. (Applied Mathematical Sciences, Vol. 59) Hard-

cover

62,95 €

ISBN 978-0-387-48916-2


G. Schay, University of Massachusetts, Boston, MA, USA

Introduction to Probability with

Statistical Applications

Introduction to Probability with Statistical Appli-cations targets non-mathematics students, under-graduates and graduates, who do not need an ex-haustive treatment of the subject. While the pre-sentation is rigorous and contains theorems andproofs, linear algebra is largely avoided and only aminimal amount of multivariable calculus is need-ed. Key features:Clear definitions, simplified nota-tion and techniques of statistical analysis, combinedwith well-chosen examples and exercises, motivatethe expositionTheory and applications carefully bal-ancedTopics include random phenomena -- discreteand continuous random variables -- expectationsand variance, and common probability distributionssuch as the binomial, Poisson, and normalCombi-natorial principles involve all four arithmetic opera-tions; emphasis on tree diagramsReferences to moreadvanced concepts throughout the book, but may besafely skipped, depending on the reader For studentsin a variety of disciplines, including computer sci-ence, [..]

Features

Theory and applications carefully balanced Presen-tation is rigorous and contains theorems and proofsLinear algebra is largely avoided Clear definitions,simplified notation and techniques of statistical anal-ysis Well-chosen examples and exercises

Contents

Preface.- The Algebra of Events.- CombinatorialProblems.- Probabilities.- Random Variables.- Ex-pectation, Variance, Moments.- Some Special Distri-butions.- The Elements of Mathematical Statistics.-Bibliography.- Index.

Fields of interest

Probability Theory and Stochastic Processes; Statis-tics for Engineering, Physics, Computer Science,Chemistry & Geosciences; Probability and Statisticsin Computer Science; Measure and Integration; Ap-plications of Mathematics

Target groups

Advanced undergraduate and graduate students inComputer Science, Engineering, Natural and SocialSciences

Type of publication


Due September 2007

2007. X, 318 p. 44 illus. Softcover

34,90 €

ISBN 978-0-8176-4497-0

W. Schirotzek, Technische Universität Dresden, Germany

Nonsmooth Analysis

The book treats various concepts of generalizedderivatives and subdifferentials in normed spaces,their geometric counterparts (tangent and normalcones) and their application to optimization prob-lems. It starts with the subdifferential of convex anal-ysis, passes to corresponding concepts for locallyLipschitz continuous functions and finally presentssubdifferentials for general lower semicontinuousfunctions. All basic tools are presented where theyare needed; this concerns separation theorems, vari-ational and extremal principles as well as relevantparts of multifunction theory. The presentation isrigorous, with detailed proofs. Each chapter endswith bibliographic notes and exercises.

Features

The reader is required to have a basic knowledge offunctional analysis only. All further prerequisites arepresented in the book The presentation strictly pro-ceeds from simple to more difficult The presentationis rigorous, with detailed proofs. Each chapter endswith suggestions for further study and with exercises

Contents

Introduction.- Preliminaries.- The Conjugate ofConvex Functionals.- Classical Derivatives.- TheSubdifferential of Convex Functionals.- OptimalityConditions for Convex Problems.- Duality of Con-vex Problems.- Derivatives and Subidfferentials ofLipschitz Functionals.- Variational Principles.- Sub-differentials of Lower Semicontinuous Functionals.-Multifunctions.- Tangent and Normal Cones.- Op-timality Conditions for Nonconvex Problems.- Ex-tremal Principles and More Normals and Subdiffer-entials.- Appendix: Further Topics.- Bibliography.-Notation.- Index.

Fields of interest

Analysis

Target groups

Lecturers and students in mathematics (nonsmoothanalysis, nonlinear analysis, analysis of multifunc-tions, optimization theory)

Type of publication


Due June 2007

2007. XII, 373 p. 31 illus. (Universitext) Softcover

39,95 €

ISBN 978-3-540-71332-6

M. Schlichenmaier, Université du Luxembourg

An Introduction to Riemann

Surfaces, Algebraic Curves and

Moduli Spaces

This book gives an introduction to modern geom-etry. Starting from an elementary level the authordevelops deep geometrical concepts, playing an im-portant role nowadays in contemporary theoreticalphysics. He presents various techniques and view-points, thereby showing the relations between thealternative approaches. At the end of each chaptersuggestions for further reading are given to allowthe reader to study the touched topics in greater de-tail. This second edition of the book contains two ad-ditional more advanced geometric techniques: (1)The modern language and modern view of Algebra-ic Geometry and (2) Mirror Symmetry. The bookgrew out of lecture courses. The presentation style istherefore similar to a lecture. Graduate students oftheoretical and mathematical physics will appreciatethis book as textbook. Students of mathematics whoare looking for a short introduction to the various as-pects of modern geometry and their interplay will al-so find it useful. Researchers will esteem the book [..]

Features

Introduction to modern geometry Presenting vari-ous techniques applied in the theoretical physics Ad-ditional topics of the second edition are the modernlanguage and modern view of Algebraic Geometryand Mirror Symmetry: Starting from an elementarylevel the book develops deep geometrical concepts,which play a major role in theoretical physics Writ-ten with an pedagogical approach and structured inthe style of [..]

Contents

Introduction.- Manifolds.- Topology of RiemannSurfaces.- Analytic Structure.- Differentials and Inte-gration.- Tori and Jacobians.- Projective Varieties.-Moduli Spaces of Curves.- Vector Bundles, Sheavesand Cohomology.- The Theorem of Riemann-Rochfor Line Bundles.- The Mumford Isomorphism onthe Moduli Space.- Modern Algebraic Geometry.-Schemes.- Hodge Decomposition and Kähler Mani-fold.- Calabi-Yau Manifolds and Mirror Symmetry.

Fields of interest

Mathematical and Computational Physics; Elemen-tary Particles, Quantum Field Theory; AlgebraicTopology

Target groups

Graduate students, theoretical physicists, mathemati-cians

Type of publication

Monograph

Due August 2007

First edition published as volume 322 in the series: Lecture Notes

in Physics

2007. XIII, 217 p. 21 illus. (Theoretical and Mathematical Physics)

Hardcover

59,95 €

ISBN 978-3-540-71174-2


M.A. Schlosshauer, University of Melbourne, VIC, Australia

Decoherence and the Quantum-To-

Classical Transition

The ultimate introduction, textbook, and referenceon decoherence and the quantum-to-classical tran-sition. This detailed but accessible text describes theconcepts, formalism, interpretation, and experimen-tal observation of decoherence and explains how de-coherence is responsible for the emergence, from therealm of quantum mechanics, of the classical worldof our experience. Topics include: • Foundationalproblems at the quantum–classical border; • The roleof the environment and entanglement; • Environ-ment-induced loss of coherence and superselection;• Scattering-induced decoherence and spatial local-ization; • Master equations; • Decoherence models;• Experimental realization of "Schrödinger kittens"and their decoherence; • Quantum computing, quan-tum error correction, and decoherence-free sub-spaces; • Implications of decoherence for interpreta-tions of quantum mechanics and for the "measure-ment problem"; • Decoherence in the brain. Writtenin a lucid and concise style that is accessible to all [..]

Features

Unique in its wide range of the covered material, thisbook emphasizes foundational implications withoutneglecting detailed descriptions of experiments andapplications

Contents

Introducing Decoherence.- The Basic Formalismand Interpretation.- Decoherence is Everywhere:Localization Due to Environmental Scattering.-Master-Equation Formulations of Decoherence.- AWorld of Spins and Oscillators: Canonical Models.-Of Buckey Balls and SQUIDs: Observing Decoher-ence in Action.- Decoherence and Quantum Com-puting.- The Role of Decoherence in Interpretationsof Quantum Mechanics.- Observations, the Quan-tum Brain, and Decoherence.- Appendix: The Inter-action Picture.- References.- Index.

Fields of interest

Quantum Physics; Nonlinear Dynamics, ComplexSystems, Chaos, Neural Networks; Popular Science,general; Mathematical Methods in Physics; QuantumComputing, Information and Physics

Target groups

Specialist and nonspecialist scientists; Students

Type of publication

Monograph

Due July 2007

2007. XV, 416 p. 72 illus. (The Frontiers Collection) Hardcover

69,95 €

ISBN 978-3-540-35773-5

R. Schoen, Pennsylvania State University, University Park, PA,

USA

Dynamic Population Models

Dynamic Population Models is the first book tocomprehensively discuss and synthesize the emerg-ing field of dynamic modeling, i.e. the analysis andapplication of population models that have chang-ing vital rates. Incorporating the latest research, it in-cludes thorough discussions of population growthand momentum under gradual fertility declines, theimpact of changes in the timing of events on fertilitymeasures, and the complex relationship between pe-riod and cohort measures. Recently developed mod-els for the analysis of changing mortality are exam-ined, and generalizations of Lotka’s fixed rate stablepopulation model are developed and applied. Thebook is well organized and clearly written so that itis accessible to those with only a minimal knowledgeof calculus. It begins with a review of fixed rate pop-ulation models, from the basic life table to multistatestable populations. The process of convergence tostability is described, and the regularities underlyingchange in the size and [..]

Features

State-of-the-art presentation of mathematical (orformal) demography Detailed discussion of popula-tion momentum Thorough treatment of timing ef-fects on demographic behavior In-depth analysesof regularities in populations with changing ratesClear and complete explanations with a minimum ofmathematical complexity

Contents

Preface.- 1. Population Models with Constant Rates.-2. Convergence to Stability.- 3. Population Momen-tum.- 4. Demographic Change at the Margin.- 5.Longevity and Dynamic Mortality.- 6. Timing Effectson Fertility, Marriage, and Divorce.- 7. DynamicBirth-Death (Multi-Age) Models.- 8. Dynamic Mul-tistate Models.- 9. Dynamic Models With MultipleAges and States.- Appendix A. Matrices and TheirEigenstructure. Appendix B. Selected Answers to Ex-ercises. Appendix C. Index of the Principal SymbolsUsed.- References.

Fields of interest

Demography; Genetics and Population Dynamics;Methodology of the Social Sciences; Statistics for So-cial Science, Education, Public Policy, and Law

Target groups

Demographers, population statisticians, and appliedsocial scientists

Type of publication

Monograph

Due March 2007

2006. XVI, 256 p. (The Springer Series on Demographic Methods

and Population Analysis, Vol. 17) Hardcover

124,95 €

ISBN 978-1-4020-5229-3

Th. Schuster, Helmut Schmidt University, Hamburg, Germany

The Method of Approximate

Inverse: Theory and Applications

Inverse problems arise whenever one tries to calcu-late a required quantity from given measurements ofa second quantity that is associated to the first one.Besides medical imaging and non-destructive testing,inverse problems also play an increasing role in oth-er disciplines such as industrial and financial mathe-matics. Hence, there is a need for stable and efficientsolvers. The book is concerned with the method ofapproximate inverse which is a regularization tech-nique for stably solving inverse problems in varioussettings such as L2-spaces, Hilbert spaces or spacesof distributions. The performance and functionali-ty of the method is demonstrated on several exam-ples from medical imaging and non-destructive test-ing such as computerized tomography, Doppler to-mography, SONAR, X-ray diffractometry and ther-moacoustic computerized tomography. The bookaddresses graduate students and researchers interest-ed in the numerical analysis of inverse problems andregularization techniques or in efficient [..]

Contents

Part I: Inverse and Semi-discrete Problems: Ill-posedProblems and Regularization Methods.- Approxi-mate Inverse in L2-spaces.- Approximate Inverse inHilbert Spaces.- Approximate Inverse in DistributionSpaces.- Conclusion and Perspectives.- Part II: Ap-plication to 3D Doppler Tomography.- A Semi-dis-crete Setup for Doppler Tomography.- Solving theSemi-discrete Problem.- Convergence and Stability.-Approaches for Defect correction.- Conclusion andPerspectives.- Part III: Application to the Sphericalmean operator.- The Spherical Mean Operator.- De-sign of a Mollifier.- Computation of [..]

Fields of interest

Linear and Multilinear Algebras, Matrix Theory;Partial Differential Equations; Integral Equations;Numerical Analysis

Target groups

Researchers and graduate students in applied mathe-matics, numerical analysis, scientific computing, andmedical imaging and nondestructive testing

Type of publication

Monograph

Due May 2007

2007. XIII, 198 p. Also available online. (Lecture Notes in Mathe-


34,95 €

ISBN 978-3-540-71226-8


A.C. Scott, Tucson, AZ, USA

The Nonlinear Universe

Chaos, Emergence, Life

Written in Alwyn Scott’s inimitable style – lucid andaccessible – The Nonlinear Universe surveys andexplores the explosion of activity in nonlinear sci-ence that began in the 1970s and 1980s and contin-ues today. The book explains the wide-ranging im-plications of nonlinear phenomena for future devel-opments in many areas of modern science, includ-ing mathematics, physics, engineering, chemistry, bi-ology, and neuroscience. Arguably as important asquantum theory, modern nonlinear science – andan appreciation of its implications – is essential forunderstanding scientific developments of the twen-ty-first century.

Features

Easy to follow and fun to read Written by a pioneerof nonlinear dynamics Complete overview of nonlin-ear phenomena New directions feature strongly

Contents

Introduction.- Chaos.- Solitons.- Nerve Pulses andReaction-Diffusion Systems.- The Unity of Non-linear Science.- Physical Applications of Nonlin-ear Theory.- Nonlinear Biology.- Reductionism andLife.- Epilogue.

Fields of interest

Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Mathematical and ComputationalPhysics; Physics and Applied Physics in Engineering;Mathematical Biology in General

Target groups

Students, university teachers, other scientists, scien-tifically literate laypersons; academic and public li-braries

Type of publication

Monograph

Due September 2007

2007. XIV, 364 p. 86 illus. (The Frontiers Collection) Hardcover

49,95 €

ISBN 978-3-540-34152-9

M. Seltman, Greenwich University, London, UK; R. Goulding, Uni-

versity of Notre Dame, IN, USA

Thomas Harriot's Artis Analyticae

Praxis

An English Translation with Commentary

Thomas Harriot's "Artis analyticae praxis" is an es-sential work in the history of algebra. To some extentit is a development work of Viete, who was amongthe first to use literal symbols to stand for known andunknown quantities. But it was Harriot who tookthe crucial step of creating an entirely symbolic alge-bra, so that reasoning could be reduced to a quasi-mechanical manipulation of symbols. Although hisalgebra was still limited in scope (he insisted. for ex-ample, on strict homogeneity, so only terms of thesame powers could be added or equated to one an-other), it is recognizably modern. Although Harriot'sbook was highly influential in the development ofanalysis in England before Newton, it has recentlybecome clear that the posthumously published Prax-is contains only an incomplete account of Harriot'sachievement: his editor substantially rearranged thework before publishing it, and omitted sections thatwere apparently beyond his comprehension, such asnegative and complex roots of [..]

Features

Contains errata for the original text, as well as com-mentary and historical information First moderntranslation of the 17th century's most importantmathematician

Contents

Preface.- Introduction.-The practice of the analyticart.- Commentary.- Notes on the Definitions.- Noteson Section One.- Notes on Section Two.- Notes onSection Three.- Notes on Section Four.- Notes onSection Five.- Notes on Section Six.- Numerical Exe-gesis.- Comparative table of equations solved.- Erra-ta.- Appendix.- Select Bibliography

Fields of interest

History of Mathematics; Algebra

Target groups

Historians of science mathematicians

Type of publication

Monograph

Due July 2007

2007. VIII, 299 p. (Sources and Studies in the History of Mathe-

matics and Physical Sciences) Hardcover

99,95 €

ISBN 978-0-387-49511-8

A. Sevilla, Moravian College, Bethlehem, PA, USA; K. Somers,

Moravian College, Bethlehem, PA, USA

Quantitative Reasoning

Tools for Today's Informed Citizen

This text is unique in that it takes an activity-basedapproach and fully integrates the use of technology.The authors make technology an essential compo-nent of the course using the argument that signifi-cant and more realistic problems can be investigatedusing technology, and with technology, students canconcentrate on ideas rather than computational de-tails.

Features

The authors developed this course with a grant fromthe National Science Foundation Each topic containsa number of worked-out examples and concludeswith a set of explorations or short problems for stu-dents to investigate The authors provide Excel andcalculator instructions with each activity Nearly allof the examples, explorations, and activities use realdata from print and electronic sources

Contents

Numerical Reasoning: Organizing information pic-torially using charts and graphs.- Bivariate data.-Graphs of functions.- Multiple variable functions.-Proportional, linear, and piecewise linear functions.-Modeling with linear and exponential functions.-Logarithms and scientific notation.- Indexes and rat-ings.- Personal finances.- Introduction to problemsolving.- Logical Reasoning: Decision making.- In-ductive reasoning.-Deductive reasoning.- Apportion-ment.- More on problem solving.- Statistical Reason-ing: Averages and five-number summary.- Standarddeviation, z-score and normal [..]

Fields of interest

Mathematics, general; Statistics, general; Statistics forSocial Science, Education, Public Policy, and Law

Target groups

Mathematics professors teaching Quantitative Rea-soning, Statistics, Liberal Arts Math

Type of publication


Due August 2007

2007. XXVII, 626 p. 75 illus. in color. Softcover

62,95 €

ISBN 978-1-931914-90-1


I.K. Shingareva, University of Sonora, Hermosillo,Mexico; C.

Lizárraga-Celaya, University of Sonora, Hermosillo,Mexico

Maple and Mathematica

A Problem Solving Approach for Mathematics

This book compares the two computer algebraprograms, Maple and Mathematica used by stu-dents, mathematicians, scientists, and engineers.Structured by presenting both systems in parallel,Mathematica’s users can learn Maple quickly byfinding the Maple equivalent to Mathematica func-tions, and vice versa. This student reference hand-book consists of core material for incorporatingMaple and Mathematica as a working tool into dif-ferent undergraduate mathematical courses (algebra,geometry, calculus, complex functions, special func-tions, integral transforms, mathematical equations).Part I describes the foundations of Maple and Math-ematica (with equivalent problems and solutions).Part II describes Mathematics with Maple and Math-ematica by using equivalent problems.

Features

Side by side comparisons of practical solutionsof the two computer algebra programs, Mapleand Mathematica First book to give a handy refer-ence for these popular systems

Contents

From the contents:Preface.- Foundations of Mapleand Mathematica: Maple; Mathematica.- Mathemat-ics: Maple and Mathematica: Graphics; Algebra; Ge-ometry; Calculus; Complex Functions; Special Func-tions; Integral and Discrete Transforms; Mathemat-ical Equations:- References.- General Index.-Maple Index.- Mathematica Index.

Fields of interest

Mathematical Software; Computational Mathematicsand Numerical Analysis; Computational Science andEngineering

Target groups

Students, mathematicians, scientists, engineers

Type of publication


Due August 2007

2007. XIII, 263 p. Softcover

39,95 €

ISBN 978-3-211-73264-9

Th.S. Shores, University of Nebraska, Lincoln, NE, USA

Applied Linear Algebra and Matrix

Analysis

This new book offers a fresh approach to matrix andlinear algebra by providing a balanced blend of ap-plications, theory, and computation, while high-lighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and MatrixAnalysis places special emphasis on linear algebra asan experimental science, with numerous examples,computer exercises, and projects. While the flavoris heavily computational and experimental, the textis independent of specific hardware or software plat-forms. Throughout the book, significant motivatingexamples are woven into the text, and each sectionends with a set of exercises. The student will devel-op a solid foundation in the following topics: Gaus-sian elimination and other operations with matri-ces; basic properties of matrix and determinant alge-bra; standard Euclidean spaces, both real and com-plex; geometrical aspects of vectors, such as norm,dot product, and angle; eigenvalues, eigenvectors,and discrete dynamical systems; general norm [..]

Features

Emphasizes linear algebra as an experimental scienceExamples are interwoven throughout the text Pro-vides a blend of applications, theory and computa-tion, to illustrate their interdependence

Contents

Preface.- Linear Systems of Equations.- Matrix Alge-bra.- Vector Spaces.- Geometrical Aspects of Stan-dard Spaces.- The Eigenvalue Problem.- GeometricalAspects of Abstract Spaces.- Table of Symbols.- An-swers to Selected Exercises.- References.- Index.

Fields of interest

Linear and Multilinear Algebras, Matrix Theory

Target groups

Undergraduate mathematics students

Type of publication


Due September 2007

2007. XII, 383 p. (Undergraduate Texts in Mathematics) Softcover

32,95 €

ISBN 978-0-387-33195-9

B.G. Sidharth, Birla Science Center, Hyderabad, India; A. Alfon-

so-Faus, Universidad Politécnica de Madrid, Spain; M.J. Fullana,

Universitat Politècnica de València, Spain (Eds.)

Frontiers of Fundamental Physics

(FFP 8)

Eighth International Symposium

All papers were peer reviewed. The broad objectiveof Frontiers of Fundamental Physics has been to en-able scholars working in different areas to meet andexchange ideas and status reports. In this edition, thefoundations of physics have been discussed and therole of science and its connection with society. Theidea of supplying a site to impel this debate amongworkers of science and all the society also appeared.Changing the way of doing science could contributeto improve the society in a fairer social system, a sci-ence for all the peoples of the world. Moreover, alter-native ideas should be taken into account to help theprogress of science. Topics discussed include: highenergy physics including string theory and quantumgravity; astro-particle physics; theoretical physics;applied mathematics; astrophysics and cosmology;alternative theories.

Fields of interest

Mathematical Methods in Physics; QuantumPhysics; Astronomy, Astrophysics and Cosmology

Target groups

University workers, professors, advanced students,workers of science and researchers in the fields ofphysics and science in general; all persons interestedin science and the connection between science andsociety

Type of publication

Proceedings

Due May 2007

2007. Approx. 290 p. (Astronomy and Astrophysics, Vol. 905)

Hardcover

99,35 €

ISBN 978-0-7354-0412-0


J.H. Silverman, Brown University, Providence, RI, USA

The Arithmetic of Dynamical

Systems

This book provides an introduction to the relative-ly new discipline of arithmetic dynamics. Whereasclassical discrete dynamics is the study of iterationof self-maps of the complex plane or real line, arith-metic dynamics is the study of the number-theoreticproperties of rational and algebraic points under re-peated application of a polynomial or rational func-tion. A principal theme of arithmetic dynamics isthat many of the fundamental problems in the theoryof Diophantine equations have dynamical analogs.As is typical in any subject combining Diophantineproblems and geometry, a fundamental goal is to de-scribe arithmetic properties, at least qualitatively, interms of underlying geometric structures. Key fea-tures: - Provides an entry for graduate students intoan active field of research - Provides a standard ref-erence source for researchers - Includes numerousexercises and examples - Contains a description ofmany known results and conjectures, as well as anextensive glossary, bibliography, [..]

Features

Provides an entry for graduate students into an ac-tive field of research Each chapter includes exercises,examples, and figures Will become a standard refer-ence for researchers in the field Contains a descrip-tion of many known results and conjectures, togetherwith an extensive bibliography

Contents

Preface.- An Introduction to Classical Dynamics.-Dynamics over Local Fields: Good Reduction.- Dy-namics over Global Fields.- Dynamics and Moduli.-Dynamics over Local Fields: Bad Reduction.- Dy-namics with an Underlying Group.- Dynamics in Di-mension Greater than One.

Fields of interest

Dynamical Systems and Ergodic Theory

Target groups

Mathematicians and graduate students

Type of publication


Due June 2007

2007. IX, 511 p. 11 illus. (Graduate Texts in Mathematics, Vol.

241) Hardcover

39,95 €

ISBN 978-0-387-69903-5

E. Sinibaldi, Scuola Normale Superiore, Pisa, Italy

Implicit preconditioned numerical

schemes for the simulation of

three-dimensional barotropic flows

Starting from a specific industrial problem relat-ed to the propellant flow within a liquid propellantrocket engine, a numerical method for simulatingthree-dimensional, generic barotropic flows in ro-tating frames is developed. A novel finite volumecompressible approach for unstructured grids is pro-posed, suitably preconditioned for accurately deal-ing with nearly-incompressible flows. The time-ad-vancing is performed by a novel, generic, linearizedimplicit scheme. A constructive procedure for solv-ing the one-dimensional Riemann problem associat-ed with a generic convex barotropic state law is pre-sented as well. All the proposed numerical ingredi-ents are validated against one-dimensional exact so-lutions or three-dimensional experimental data relat-ed to complex, industrial flows also involving cavita-tion phenomena.

Features

A real, challenging industrial problem is addressedby hierarchically solving simpler issues, while keep-ing the formulation rather general Novel, fully com-pressible approach for the simulation of cavitatingflows Self-contained presentation of the relevantmathematical and numerical ingredients Presentsa constructive procedure for defining exact bench-marks

Fields of interest

Numerical Analysis; Mathematical Modeling and In-dustrial Mathematics

Target groups

Researchers and practitioners working in computa-tional fluid dynamics, numerical analysis, aerospaceengineering or applied mathematics

Type of publication

Monograph

Due September 2007

2007. Approx. 236 p. (Theses (Scuola Normale Superiore), Vol. 3)

Softcover

18,00 €

ISBN 978-88-7642-310-9

C.G. Small, University of Waterloo, ON, Canada

Functional Equations and How to

Solve Them

Over the years, a number of books have been writ-ten on the theory of functional equations. However,very little has been published which helps readers tosolve functional equations in mathematics competi-tions and mathematical problem solving. This bookfills that gap. The student who encounters a func-tional equation on a mathematics contest will needto investigate solutions to the equation by findingall solutions, or by showing that all solutions havea particular property. The emphasis here will be onthe development of those tools which are most use-ful in assigning a family of solutions to each func-tional equation in explicit form. At the end of eachchapter, readers will find a list of problems associat-ed with the material in that chapter. The problemsvary greatly, with the easiest problems being acces-sible to any high school student who has read thechapter carefully. The most difficult problems will bea reasonable challenge to advanced students studyingfor the International Mathematical [..]

Features

Interesting collection of problems and topics Veryclear and enjoyable exposition Nicely organized tohighlight connections between various sections

Contents

Preface.- An historical introduction.- Function-al equations with two variables.- Functional equa-tions with one variable.- Miscellaneous methods forfunctional equations.- Some closing heuristics.- Ap-pendix: Hamel bases.- Hints and partial solutions toproblems.- Bibliography.- Index.

Fields of interest

Difference and Functional Equations; NumericalAnalysis

Target groups

Advanced high school students, undergraduates, par-ticipants of mathematical Olympiads and WilliamLowell Putnam competitions

Type of publication


Due September 2007

2007. XII, 129 p. (Problem Books in Mathematics) Softcover

32,95 €

ISBN 978-0-387-34539-0


J. Steuding, University of Würzburg, Germany

Value-Distribution of L-Functions

These notes present recent results in the value-dis-tribution theory of L-functions with emphasis onthe phenomenon of universality. In 1975, Voroninproved that any non-vanishing analytic functioncan be approximated uniformly by certain shifts ofthe Riemann zeta-function in the critical strip. Thisspectacular universality property has a strong impacton the zero-distribution: Riemann’s hypothesis istrue if and only if the Riemann zeta-function can ap-proximate itself uniformly (in the sense of Voronin).Meanwhile universality is proved for a large zoo ofDirichlet series, and it is conjectured that all rea-sonable L-functions are universal. In these notes weprove universality for polynomial Euler products.Our approach follows mainly Bagchi's probabilisticmethod. We further discuss related topics as, e.g., al-most periodicity, density estimates, Nevanlinna theo-ry, and functional independence.

Contents

Introduction.- Dirichlet Series and Polynomial EulerProducts.- Interlude: Results from Probability The-ory.- Limit Theorems. - Universality.- The SelbergClass.- Value-distribution in the Complex Plane.-The Riemann Hypotheses.- Effective Results.- Con-sequences of Universality.- Dirichlet Series with Peri-odic Coefficients.- Joint Universality.- L-functions ofNumber Fields.- Appendix: A Short History of Uni-versality.- References.- Notations.- Index.

Fields of interest

Number Theory; Functions of a Complex Variable;Probability Theory and Stochastic Processes

Target groups

Researchers and graduate students in analytic num-ber theory, approximation theory in spaces of func-tions and probabilistic methods in number theoryand the theory of functions

Type of publication

Monograph

Due June 2007

2007. XIII, 317 p. (Lecture Notes in Mathematics, Vol. 1877) Soft-

cover

49,95 €

ISBN 978-3-540-26526-9

E.L. Stout, University of Washington, Seattle, USA

Polynomial Convexity

This comprehensive monograph is devoted to thestudy of polynomially convex sets, which play animportant role in the theory of functions ofseveral complex variables. Important features ofPolynomial Convexity: *Presents the general prop-erties of polynomially convex sets with particular at-tention to the theory of the hulls of one-dimensionalsets. *Motivates the theory with numerous examplesand counterexamples, which serve to illustrate thegeneral theory and to delineate its boundaries. *Ex-amines in considerable detail questions of uniformapproximation, especially on totally real sets, for themost part on compact sets but with some attentionto questions of global approximation on noncom-pact sets. *Discusses important applications, e.g., tothe study of analytic varieties and to the theory of re-movable singularities for CR functions. *Requires ofthe reader a solid background in real and complexanalysis together with some previous experience withthe theory of functions of several [..]

Features

Distinctive and comprehensive approach to the the-ory of polynomially convex sets Examples and coun-terexamples illustrate complex ideas

Contents

From the contents Preface.- Introduction.- SomeGeneral Properties of Polynomially Convex Sets.-Sets of Finite Length.- Sets of Class A1.- Further Re-sults.- Approximation.- Varieties in Strictly.- Pseu-doconvex Domains.- Examples and Counter Exam-ples.- Bibliography.- Index.

Fields of interest

Several Complex Variables and Analytic Spaces;Functions of a Complex Variable; Field Theory andPolynomials; Functional Analysis; Analysis

Target groups

Graduate students and researchers interested in thetheory of functions of several complex variables

Type of publication

Monograph

Due May 2007

2007. X, 439 p. (Progress in Mathematics, Vol. 261) Hardcover

69,90 €

ISBN 978-0-8176-4537-3

M. Tacano, Meisei University, Tokyo, Japan; Y. Yamamoto, Uni-

versity of Tokyo, Tokyo, Japan; M. Nakao, Tohoku Univeristy,

Sendai, Japan (Eds.)

Noise and Fluctuations

19th International Conference on Noise and Fluctuations - IC-

NF 2007

ICNF 2007 will address a broad variety of topics cov-ering fundamental aspects of noise and fluctuations,as well as applications in various fields. Those relat-ed to biological, as well as interdisciplinary aspectsof noise and fluctuation research will also be consid-ered.

Fields of interest

Applied Optics, Optoelectronics, Optical Devices;Nonlinear Dynamics, Complex Systems, Chaos,Neural Networks; Physical Chemistry; Biophysics

Target groups

Statistical physics researchers; device researchers;complex systems researchers, computational biolo-gists

Type of publication

Proceedings

Due September 2007

2007. Approx. 760 p. (Materials Physics and Applications, Vol.

922) Hardcover

143,25 €

ISBN 978-0-7354-0432-8


S. Takahashi, Waseda University, Tokyo, Japan; D. Sallach, Ar-

gonne National Laboratory, Argonne, IL, USA; J. Rouchier, GRE-

QAM, Marseille, France (Eds.)

Advancing Social Simulation

The First World Congress

Agent-based modeling and social simulation haveemerged as both developments of and challenges tothe social sciences. The developments include agent-based computational economics and investigationsof theoretical sociological concepts using formal sim-ulation techniques. Among the challenges are the de-velopment of qualitative modeling techniques, im-plementation of agent-based models to investigatephenomena for which conventional economic, so-cial, and organizational models have no face valid-ity, and the application of physical modeling tech-niques to social processes. Bringing together diverseapproaches to social simulation and research agen-das, this book presents a unique collection of con-tributions from the First World Congress on SocialSimulation, held in 2006 in Kyoto, Japan. The workemerged from the collaboration of the Pacific AsianAssociation for Agent-Based Approach in Social Sys-tems Sciences, the North American Association forComputational Social and Organizational Science,and the [..]

Features

Offers topics related to social simulation and agent-based approaches in economic and social complexsystems to promote worldwide activities of the mul-ti-disciplinary community on multiagent, computa-tional economics, organizational science, social dy-namics, and complex systems Contributors are fromnot only Japan but also from US and Europe

Fields of interest

Simulation and Modeling; Organization/Planning;Operation Research/Decision Theory; Personality &Social Psychology

Target groups


Type of publication

Monograph

Due August 2007

2007. X, 360 p. Hardcover

89,95 €

ISBN 978-4-431-73150-4

T.-J. Tarn, Washington University at St. Louis, WA, USA; S.-B.

Chen, Shanghai Jiao Tong University, China; C. Zhou, Singapore

Polytechnic, Singapore (Eds.)

Robotic Welding, Intelligence and

Automation

Features

Presents recent trends of advanced robotic welding,artificial intelligent and automatic welding

Contents

Part 1: General Intelligent Robotics.- Part 2: Intelli-gent Techniques for Robotic Welding.- Part 3: Vi-sion Sensing and Intelligent Control of Arc WeldingProcessing.- Part 4: Welding Automations.- Part 5:Intelligent Control and its Application in Engineer-ing.

Fields of interest


Target groups

Engineers, researchers and students in control engi-neering, robotics, welding, manufacturing

Type of publication

Monograph

Due August 2007



119,95 €

ISBN 978-3-540-73373-7

L. Tartar, Carnegie Mellon University, Pittsburgh, PA, USA

An Introduction to Sobolev Spaces

and Interpolation Spaces

After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this se-ries), Luc Tartar follows with another set of lecturenotes based on a graduate course in two parts, as in-dicated by the title. A draft has been available on theinternet for a few years. The author has now revisedand polished it into a text accessible to a larger audi-ence.

Features

Appears parallel to the conference in honour of LucTartar on the ocasion of his 60th birthday held inParis, July 2-6, 2007 at the CMAP of the Ecole Poly-technique During his long career, Luc Tartar had notwritten a book until 2006 when the new series Lec-ture Notes of the Unione Matematica Italiana startedpublication. This is his second volume in the new se-ries and a third is in preparation

Contents

Historical background.- The Lebesgue measure, con-volution.- Smoothing by convolution.- Truncation,Radon measures, distributions.- Sobolev spaces, mul-tiplication by smooth functions.- Density of tensorproducts, consequences.- Extending the notion ofsupport.- Sobolev’s embedding theorem, 1 \leq p <N.- Sobolev’s embedding theorem, N \leq p \leq \in-fty.- Poincar´e’s inequality.- The equivalence lemma,compact embeddings.- Regularity of the boundary,consequences.- Traces on the boundary.- Green’sformula.-The Fourier transform.- Traces of Hs(RN).-Proving that a point is too small.- [..]

Fields of interest

Partial Differential Equations; Functional Analysis

Target groups


Type of publication

Monograph

Due June 2007

2007. XXV, 218 p. (Lecture Notes of the Unione Matematica Ital-

iana, Vol. 3) Softcover

39,95 €

ISBN 978-3-540-71482-8


T. Terano, Tokyo Institute of Technology, Yokohama, Japan; H.

Kita, University of Kyoto, Japan; H. Deguchi, Tokyo Institute of

Technology, Yokohama, Japan; K. Kijima, Tokyo Institute of Tech-

nology, Tokyo, Japan (Eds.)

Agent-Based Approaches in

Economic and Social Complex

Systems IV

Post Proceedings of The AESCS International Workshop 2005

Agent-Based Modeling/Simulation (ABM/ABS) isan emerging field that enables bottom-up and exper-imental analysis in social sciences such as economics,management, sociology and politics. The chaptersof this book are the selected papers from those pre-sented the Third International Workshop on Agent-Based Approaches in Economic and Social ComplexSystems held in Tokyo, Japan in 2005. Articles in thisbook covers methodological issues, computationalmodel/software, combination with gaming simula-tion, and real-world applications to economic, man-agement/organizational and social issues.

Features

Offers topics related to Agent-Based Approaches inEconomic and Social Complex Systems to promoteworldwide activities of the multi-disciplinary com-munity on multiagent, computational economics, or-ganizational science, social dynamics, and complexsystems

Contents

Gaming and Education.- Market and policy.- Cityand local community.- Network.- Learning Agents.-Methodology and tools.

Fields of interest

Simulation and Modeling; Organization/Planning;Operation Research/Decision Theory

Target groups


Type of publication

Proceedings

Due April 2007

2007. IX, 206 p. 99 illus. (Springer Series on Agent Based Social

Systems, Vol. 3) Hardcover

79,95 €

ISBN 978-4-431-71306-7

G. Tesler, University of California, San Diego, CA, USA; D. Durand,

Carnegie Mellon University, Pittsburgh, PA, USA (Eds.)

Comparative Genomics

RECOMB 2007, International Workshop, RECOMB-CG 2007,

San Diego, CA, USA, September 16-18, 2007, Procceedings

This book constitutes the refereed proceedings ofthe 5th RECOMB Comparative Genomics SatelliteWorkshop, RECOMB-CG 2007, held in San Diego,CA, USA, in September 2007. The 14 revised full pa-pers presented were carefully reviewed and select-ed from 18 initial submissions. The papers address abroad variety of aspects and components of the fieldof comparative genomics, ranging from quantitativediscoveries about genome structure to algorithms forcomparative inference to theorems on the complex-ity of computational problems required for genomecomparison.

Fields of interest

Algorithm Analysis and Problem Complexity; Dis-crete Mathematics in Computer Science; Data Struc-tures; Database Management; Computational Biolo-gy/Bioinformatics; Computer Appl. in Life Sciences

Target groups

Researchers and professionals.

Type of publication

Proceedings

Due August 2007


Softcover

42,00 €

ISBN 978-3-540-74959-2

A. Tewari, Indian Institute of Technology, Kanpur, India

Atmospheric and Space Flight

Dynamics

Modeling and Simulation with MATLAB® and Simulink®

Modern aerospace vehicles, such as the space shut-tle, other launch vehicles, and long-range ballisticmissiles, do not discriminate between atmospher-ic and space flight. Most texts on flight dynamics,however, make this artificial distinction and there-fore do not simultaneously cover aircraft and space-craft. Bridging this gap in the literature, Atmosphericand Space Flight Dynamics is a unified presentation,demonstrating that the two disciplines have actual-ly evolved from the same set of physical principles. Key features inclue an introductionto a broad range of modern topics in an accessible,yet mathematically rigorous presentation; many nu-merical examples and simulations utilizing MAT-LAB® and Simulink®; software used as aninstructional, hands-on tool, moving away fromthe "cookbook" approach found in other works;and numerous illustrations and end-of-chap-ter exercises. Primarily useful as a textbookfor advanced undergraduate and beginning gradu-ate-level students, [..]

Features

Unified presentation does not discriminate betweenatmospheric and space flight Introduces a broadrange of critical concepts in an accessible, yet mathe-matically rigorous presentation Presents many MAT-LAB- and Simulink-based numerical examples andreal-world simulations. Supplementary material andMATLAB/Simulink code is available online Avoidsthe "cookbook" approach found in other works byusing the [..]

Contents

Preface.- Introduction.- Attitude andKinematics of Coordinate Frames.- Plan-etary Form and Gravity.- Translational Motionof Aerospace Vehicles.- Orbital Mechanics.-Perturbed Orbits.- The Three-BodyProblem.- Rocket Propulsion.- Planetary Atmo-sphere.- Elements of Aerodynamics.- AirbreathingPropulsion.- Atmospheric and TransatmosphericTrajectories.- Attitude Dynamics.- Attitude ControlSystems.- Advanced Modeling and Simulation Con-cepts.- Numerical Integration of Ordinary Differen-tial Equations.- Answers to Selected Exercises.- Ref-erences.- Index

Fields of interest

Automotive and Aerospace Engineering; Mathemat-ical Modeling and Industrial Mathematics; Numer-ical and Computational Methods in Engineering;Appl.Mathematics/Computational Methods of Engi-neering; Applications of Mathematics; Systems The-ory, Control

Target groups

Advanced undergraduate, beginning gradu-ate students as well as researchers and practitionersin aerospace engineering, aviation, mechanical engi-neering, dynamics, astrodynamics, aeronautics, andastronautics

Type of publication


Due June 2007


2007. XX, 556 p. 207 illus. (Modeling and Simulation in Science,

Engineering and Technology) Softcover

52,00 €

ISBN 978-0-8176-4373-7

L. Ting, New York University, New York, NY, USA; R. Klein, Freie

Universität Berlin, Germany; O.M. Knio, The Johns Hopkins Uni-

versity, Baltimore, MS, USA

Vortex Dominated Flows

Analysis and Computation for Multiple Scale Phenomena

Addressed to both graduate students and researchersthis monograph provides in-depth analyses of vor-tex dominated flows via matched and multiscaleasymptotics, and it demonstrates how insight gainedthrough these analyses can be exploited in the con-struction of robust, efficient, and accurate numericaltechniques. The dynamics of slender vortex filamentsis discussed in detail, including fundamental deriva-tions, compressible core structure, weakly non-lin-ear limit regimes, and associated numerical meth-ods. Similarly, the volume covers asymptotic analy-sis and computational techniques for weakly com-pressible flows involving vortex generated sound andthermoacoustics.

Features

Treats theoretical foundations of vortical flows De-tailed treatment of the dynamics of slender vor-tex filaments, including fundamental derivationsPresents numerical schemes based on asymptotictheory Presents applications of matched asymptoticsto physical models and to numerics

Contents

Introduction.- Vortex Dominated Flows and Gener-al Theory.- Motion and Decay of Vortex Filaments- Matched Asymptotics.- Nonlinear Dynamics ofNearly Straight Vortex Filaments.- Numerical Simu-lation of Slender Vortex Filaments.- Numerical Sim-ulations of the Merging of Vortices or Filaments.-Flow-Generated Sound.- Sound-Generated Flow.-Epilogue.- Appendices: A. Governing Equations forHigher-Order Solutions.- B. Second-Order Two-Time Solutions.- C. Equations of Motion of Fila-ments.- D. Formulae for the Coefficients in (6.2.74)and (6.2.75).- E. Transformations to Filament-At-tached [..]

Fields of interest

Mathematical and Computational Physics; Mathe-matical Methods in Physics; Numerical and Compu-tational Methods; Fluids; Numerical Analysis; Engi-neering Fluid Dynamics

Target groups

Researchers and advanced students of applied math-ematics and engineering

Type of publication

Monograph

Due June 2007

Based upon volume 374 of the series Lecture Notes in Physics.

With many updates and 4 new chapters.

2007. XIII, 506 p. 139 illus. (Applied Mathematical Sciences, Vol.

161) Hardcover

69,95 €

ISBN 978-3-540-68581-4

S. Todorcevic, Université Paris VII - CNRS, Paris, France and Uni-

versity of Toronto, Canada

Walks on Ordinals and Their

Characteristics

The analysis of the characteristics of walks on ordi-nals is a powerful new technique for building mathe-matical structures, developed by the author over thelast twenty years. This is the first book-length expo-sition of this method. Particular emphasis is placedon applications which are presented in a unified andcomprehensive manner and which stretch acrossseveral areas of mathematics such as set theory, com-binatorics, general topology, functional analysis,and general algebra. The intended audience for thisbook are graduate students and researchers workingin these areas interested in mastering and applyingthese methods.

Features

Only full exposition of the method since its inven-tion in the early 1980s In recent times the method isfinding remarkable new appplications

Contents

1. Introduction.- 2. Walks on Countable Ordinals.-3. Metric Theory of Countable Ordinals.- 4. Coher-ent Mappings and Trees.- 5. The Square Bracket Op-eration on Countable Ordinals.- 6. General Walksand Their Characteristics.- 7. Square Sequences.- 8.The Oscillation Mapping and The Square-BracketOperation.- 9. Unbounded Functions.- 10. HigherDimensions.- Bibliography.- Index.

Fields of interest

Combinatorics; Number Theory

Target groups

Graduates, postgraduates and researchers in combi-natorial set theory, model theory, general topology,Banach space theory

Type of publication

Monograph

Due September 2007

2007. VI, 324 p. (Progress in Mathematics, Vol. 263) Hardcover

59,90 €

ISBN 978-3-7643-8528-6


M.C. Turner, University of Leicester, UK; D.G. Bates, University of

Leicester, UK (Eds.)

Mathematical Methods for Robust

and Nonlinear Control

EPSRC Summer School

The theory on which much modern robust and non-linear control is based can be difficult for studentsfrom a standard engineering background and in-dustrial practitioners to grasp. Mathematical Meth-ods for Robust and Nonlinear Control is a collectionof lecture notes, useful for filling in this gap, whichwere presented at a summer school in Leicester UKby a group of experts in advanced control engineer-ing of international origins and consists of two parts.The first ten chapters are devoted to the mathemat-ical theory behind several areas of robust and non-linear control and are aimed at introducing funda-mental concepts to the reader. The last six chapterscontain detailed case studies which demonstrate theuse and effectiveness of these modern techniques inreal engineering applications. It is hoped that thisbook will provide a useful introduction for studentsof many of the more common robust and nonlinearcontrol techniques as well as serving as a valuablereference for the more adept practitioner.

Features

Gives students and industrial practitioners a bettergrounding in the theory underlying several impor-tant areas of control Helps the reader to apply other-wise abstruse ideas of nonlinear control in a varietyof real systems

Contents

Part I: Theory of Robust and Nonlinear Control.- H-infinity Control Design.- Structural Methods for Lin-ear Systems: An Introduction.- Modeling and ModelReduction: State-space Truncation.- Linear MatrixInequalities in Control.- Anti-windup Compensationand the Control of Input-constrained Systems.- Out-put Feedback H-infinity Loop-shaping ControllerSynthesis.- Stability and Asymptotic Behaviour ofNonlinear Systems: An Introduction.- Sliding-modeObservers.- Sliding-mode Control in Systems withOutput Time Delay.- Part II: Applications of Robustand Nonlinear Control.- Control [..]

Fields of interest

Control Engineering; Systems Theory, Control;Computer Hardware; Process and Chemical Engi-neering; Immunology

Target groups

Academic researchers and graduate students in non-linear and robust control; control engineers based inindustry; libraries

Type of publication

Contributed volume

Due September 2007

2007. XVI, 444 p. 247 illus. (Lecture Notes in Control and Informa-

tion Sciences, Vol. 367) Softcover

99,95 €

ISBN 978-1-84800-024-7

W.G. Unruh, University of British Columbia, Vancouver, BC, Cana-

da; R. Schützhold, Technische Universität Dresden, Germany

(Eds.)

Quantum Analogues: From Phase

Transitions to Black Holes and

Cosmology

Recently, analogies between laboratory physics (e.g.quantum optics and condensed matter) and gravita-tional/cosmological phenomena such as black holeshave attracted an increasing interest. Especially inview of the tremendous progress of the experimentalcapabilities (e.g. regarding superfluids such as liquidHelium or gaseous Bose-Einstein condensates), exot-ic quantum effects such as Hawking radiation mightcome into reach for the first time. This book containsa series of selected lectures devoted to this new andrapidly developing interdisciplinary field of research.Various analogies connecting (apparently) differ-ent areas in physics are presented in order to bridgethe gap between them and to provide an alternativepoint of view - which will provide a deeper insightfor graduate students as well as senior scientists.

Contents

The Analogue Between Rimfall and Black Holes.-Effective Horizons in the Laboratory.- QuantumPhase Transitions From Topology in MomentumSpace.- Superfluid 3He as a Model System for Cos-mology-Experimental Point of View.- DynamicalAspects of Analogue Gravity: Quantum Backreactionin Bose-Einstein Condensates.- Analogue Space-Time Based on 2-Component Bose-Einstein Con-densates.- Links. Relating Diffferent Physical Sys-tems Through the Common QFT Algebraic Struc-ture.- The Classical and Quantum Roots of Pauli`sSpin-Statistics Relation.- Black Hole Lasers Revisit-ed.- Cosmic Strings.- Index.

Fields of interest

Quantum Physics; Mathematical and ComputationalPhysics; Relativity and Cosmology

Target groups


Type of publication

Monograph

Due April 2007

2007. XIV, 297 p. Also available online. (Lecture Notes in Physics,

Vol. 718) Hardcover

69,95 €

ISBN 978-3-540-70858-2

K.P. Valavanis, University of South Florida, Tampa, FL, USA (Ed.)

Advances in Unmanned Aerial

Vehicles

State of the Art and the Road to Autonomy

There has been tremendous emphasis in unmannedaerial vehicles, both of fixed (airplanes) and rotarywing (vertical take off and landing, helicopters) typesover the past ten years. Applications span both civil-ian and military domains, the latter being the mostimportant at this stage. This edited book provides asolid and diversified reference source related to ba-sic, applied research and development on small andminiature unmanned aerial vehicles, both fixed androtary wing. As such, the book offers backgroundinformation on the evolution of such vehicles overthe years, followed by modeling and control funda-mentals that are of paramount importance due tounmanned aerial vehicle model complexity, non-linearity, coupling, inhirent instability and param-eter values uncertainty. Aspects of navigation, in-cluding visual-based navigation and target trackingare discussed, followed by applications to attitudeestimation on micro unmanned aerial vehicles, au-tonomous solar unmanned aerial vehicle, [..]

Features

The only book that brings together reported researchfrom leading research groups in the field Offers stateof the art research results Presents advances in thefield Focuses on autonomous navigation

Contents

From the contents Part I Background.- Part II Mod-eling and Control Fundamentals.- Part III Aspectson Navigation.- Part IV Applications.- Part V Epi-logue.

Fields of interest

Control Engineering; Systems Theory, Control; Au-tomation and Robotics; Artificial Intelligence (incl.Robotics); Automotive and Aerospace Engineering

Target groups

Academics, researchers, scientists and engineers,graduate students and practitioners; anybody withbasic knowledge in the field who wants to deal withUAVs will find this book useful

Type of publication

Contributed volume

Due July 2007

2007. XXIV, 543 p. (Intelligent Systems, Control and Automation:


119,95 €

ISBN 978-1-4020-6113-4


P. Van Hentenryck, Brown University, Providence, RI, USA; L.

Wolsey, Université catholique de Louvain, Belgium (Eds.)

Integration of AI and OR

Techniques in Constraint

Programming for Combinatorial

Optimization Problems

4th International Conference, CPAIOR 2007, Brussels, Bel-

gium, May 23-26, 2007, Proceedings

This book constitutes the refereed proceedings ofthe 4th International Conference on Integration ofAI and OR Techniques in Constraint Programmingfor Combinatorial Optimization Problems, CPAIOR2007, held in Brussels, Belgium in May 2007. The 27revised full papers presented were carefully reviewedand selected from 80 submissions. Methodologicaland foundational issues from AI, OR, and algorith-mics are presented as well as applications to the solu-tion of combinatorial optimization problems in vari-ous fields via constraint programming.

Fields of interest

Numeric Computing; Discrete Mathematics in Com-puter Science; Algorithm Analysis and ProblemComplexity; Artificial Intelligence (incl. Robotics);Operation Research/Decision Theory; Combina-torics

Target groups


Type of publication

Proceedings

Due May 2007

2007. X, 391 p. Also available online. (Lecture Notes in Computer


56,00 €

ISBN 978-3-540-72396-7

K.-H. Waldmann, University of Karlsruhe, Germany; U.M. Stocker,

University of Karlsruhe, Germany (Eds.)

Operations Research Proceedings

2006

Selected Papers of the Annual International Conference of the

German Operations Research Society (GOR), Jointly Organized

with the Austrian Society of Operations Research (ÖGOR) and

the Swiss Society of Operations Research (SVOR)

This volume contains a selection of papers referringto lectures presented at the symposium "OperationsResearch 2006" (OR 2006) held at the University ofKarlsruhe, September 6 – 8, 2006. This internation-al conference took place under the auspices of theOperations Research Societies of Germany (GOR),Austria (ÖGOR), and Switzerland (SVOR). The sym-posium was attended by more than 600 academicsand practitioners from 35 countries. It presented thestate of the art in Operations Research and relatedareas in Economics, Mathematics, and ComputerScience and demonstrated the broad applicability ofits core themes, placing particular emphasis on BaselII, one of the most topical challenges of OperationsResearch.

Contents

Part I: GOR Unternehmenspreis 2006.- Part II: GOR'Dissertationspreis 2006.- Part III: GOR Diplomar-beitspreis 2006.- Part IV: Plenary and Semi-PlenaryTalks.- Part V: Business Intelligence, Forecasting andMarketing.- Part VI: Discrete and CombinatorialOptimization.- Part VII: Econometrics. Game The-ory and Mathematical Economics.- Part VIII: En-ergy and Environment.- Part IX: Finance, Bankingand Insurance.- Part X: Health and Life Science.- XI:Logistics and Transport.- Part XII: Managerial Ac-counting and Auditing.- Part XIII: Metaheuristicsand Decision Support Systems.- Part XIV: [..]

Fields of interest

Operation Research/Decision Theory; OperationsResearch, Mathematical Programming

Target groups

Scientists and practitioners

Type of publication

Proceedings

Due May 2007

2007. XX, 616 p. 123 illus. (Operations Research Proceedings,

Conference 2006) Softcover

129,95 €

ISBN 978-3-540-69994-1

W.D. Wallis, Southern Illinois University, Carbondale, IL, USA

A Beginner's Guide to Graph Theory

Graph theory continues to be one of the fastest grow-ing areas of modern mathematics because of its wideapplicability in such diverse disciplines as comput-er science, engineering, chemistry, management sci-ence, social science, and resource planning. Graphsarise as mathematical models in these fields, and thetheory of graphs provides a spectrum of methods ofproof. This concisely written textbook is intended foran introductory course in graph theory for under-graduate mathematics majors or advanced under-graduate and graduate students from the many fieldsthat benefit from graph-theoretic applications. Thissecond edition includes new chapters on labeling andcommunications networks and small-worlds, as wellas expanded beginner's material in the early chap-ters, including more examples, exercises, hints andsolutions to key problems. Many additional changes,improvements, and corrections resulting from class-room use and feedback have been added throughout.With a distinctly applied flavor, this [..]

Features

Concisely written, gentle introduction to graph the-ory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (comput-er science, engineering, chemistry, management sci-ence) 2nd ed. includes new chapters on labeling andcommunications networks and small worlds, as wellas expanded beginner's material Many additionalchanges, improvements, and corrections resultingfrom classroom use

Contents

Preface.- Preface to the First Edition.- List of Fig-ures.- Graphs.- Walks, Paths, and Cycles.- Con-nectivity.- Trees.- Linear Spaces Associated withGraphs.- Factorizations.- Graph Colorings.- Planari-ty.- Labeling.- Ramsey Theory.- Digraphs.- CriticalPaths.- Flows in Networks.- Computational Con-siderations.- Communication Networks and SmallWorlds.- References.- Hints.- Answers and Solu-tions.

Fields of interest

Combinatorics; Algebra; Applications of Mathemat-ics; Mathematical Logic and Foundations; Linear andMultilinear Algebras, Matrix Theory

Target groups

Undergraduate mathematics majors, as well as ad-vanced undergraduates and graduate students incomputer science, engineering, chemistry, manage-ment science, social science, and resource planning

Type of publication


Due July 2007

2007. XX, 260 p. 160 illus. Softcover

34,90 €

ISBN 978-0-8176-4484-0


K. Williams, Torino, Italy (Ed.)

Nexus Network Journal 9,1

Architecture and Mathematics

This issue is dedicated to various kinds of patternsin architecture. Buthayna Eilouti and Amer Al-Jokhadar address patterns in shape grammars inthe ground plans of Mamluk madrasas, religiousschools. Giulio Magli goes back further in histo-ry, to the age of Greek colonies in Italy before theywere conquered by the Romans, to examine patternsin urban design. In Traditional Patterns in Pyrgiof Chios: Mathematics and Community CharoulaStathopoulou examines the geometric patterns thatdecorate the buildings of the town of Pyrgi, on theGreek island of Chios. Curve Fitting is a study ofways to construct a function so that its graph mostclosely approximates the pattern given by a set ofpoints. Dirk Huylebrouck’s paper examines how apattern of points extracted from an arch might be as-sociated to a precise mathematical curve. James Har-ris looks at the designs of Frank Lloyd Wright andPiet Mondrian to extract the rules of their patterngeneration and propose possible applications.

Features

Six research articles, two on Mamluk madrasasGeometer’s Angle Conference reports Exhibit review

Contents

Letter from the Editor.- A Generative System forMamluk Madrasa Form-Making.- A Computer-Aid-ed Rule-Based Mamluk Madrasa Plan Generator.-Curve Fitting in Architecture.- Non-Orthogonal Fea-tures in the Planning of Four Ancient Towns of Cen-tral Italy.- Integrated Function Systems and Organ-ic Architecture from Wright to Mondrian.- Tradi-tional Patterns in Pyrgi of Chios: Mathematics andCommunity.- Squaring the Circle: Marriage of Heav-en and Earth.- Mathematical Connections in Art,Music and Science.- Symposium Report.- GuarinoGuarini’s Chapel of the Holy Shroud in Turin: OpenQuestions, [..]

Fields of interest

Applications of Mathematics

Target groups

Architects, mathematicians and everyone interestedin the subject

Type of publication

Contributed volume

Due April 2007

2007. 158 p. (Nexus Network Journal, Vol. 9,1) Softcover

49,90 €

ISBN 978-3-7643-8443-2


M. Witczak, University of Zielona Góra, Poland

Modelling and Estimation

Strategies for Fault Diagnosis of

Non-Linear Systems

From Analytical to Soft Computing Approaches

This monograph presents a variety of tech-niques that can be used for designing robust fault di-agnosis schemes for non-linear systems. The intro-ductory part of the book is of a tutorial value and canbe perceived as a good starting point for the new-comers to this field. Subsequently, advanced robustobserver structures are presented. Parameter estima-tion based techniques are discussed as well. A par-ticular attention is drawn to experimental designfor fault diagnosis. The book also presents a num-ber of robust soft computing approaches utilizingevolutionary algorithms and neural networks. Allapproaches described in this book are illustrated bypractical applications.

Features

Presents an introduction to fault diagnosis of non-linear systems using analytical and soft computingtechniques All techniques are presented in a unifiedframework - starting from the advanced state esti-mation strategies through theparameter estimationtechniques up to modern soft computing The intro-ductory part of the book is of a tutorial value and agood starting point for the new-comers to this fieldAll [..]

Contents

Part I Principles of fault diagnosis.- Analytical tech-niques-based FDI.- Soft computing-based FDI.- PartII State and parameter estimation strategies.- Stateestimation techniques for FDI.- Parameter estima-tion-based FDI.- Part III Soft computing strategies.-Evolutionary algorithms.- Neural networks.- Con-clusions and future research directions.

Fields of interest


Target groups

Researchers, industrial engineers and advanced post-graduate students in control, electrical engineering,computer science as well as mechanical and chemicalengineering.

Type of publication

Monograph

Due April 2007

2007. XV, 208 p., Also available online. (Lecture Notes in Control


79,95 €

ISBN 978-3-540-71114-8

L. Yu, Chinese Academy of Sciences, Beijing, China; S. Wang, Chi-

nese Academy of Sciences, Beijing, China; K.K. Lai, City University

of Hong Kong, Kowloon, Hong Kong

Foreign-Exchange-Rate Forecasting

with Artificial Neural Networks

The book focuses on forecasting foreign exchangerates via artificial neural networks. It creates and ap-plies the highly useful computational techniques ofArtificial Neural Networks (ANNs) to foreign-ex-change-rate forecasting. The result is an up-to-datereview of the most recent research developments inforecasting foreign exchange rates coupled with ahighly useful methodological approach to predict-ing rate changes in foreign currency exchanges. For-eign Exchange Rate Forecasting with Artificial Neu-ral Networks is targeted at both the academic andpractitioner audiences. Managers, analysts and tech-nical practitioners in financial institutions across theworld will have considerable interest in the book,and scholars and graduate students studying finan-cial markets and business forecast will also have con-siderable interest in the book.

Features

The book’s modeling framework is multi-level en-abling agent of an intelligent foreign-exchange-rate-forecasting methodology. Adding to the methodolo-gy is a decision-support system, which can be deliv-ered by both a client/server model and widely-usedweb technologies Because of the highly usefulcomputational techniques of Artificial Neural Net-works (ANNs) to foreign-exchange-rate forecasting,managers, [..]

Contents

Preface.- Are foreign exchange rates predictable? Ananatomy of a survey from artificial neural networksperspective.- Basic principles of ANN algorithms.-Data preparation in neural network data analysis.-Forecasting foreign exchange rates using an adaptiveback-propagation algorithm with optimal learningrate and momentum factor.- An online learning al-gorithm with adaptive forgetting factors for BP neu-ral network in foreign exchange rate forecasting.-An improved BP algorithm with adaptive smoothingmomentum terms for foreign exchange rate predic-tion.- Hybridizing BPNN and [..]

Fields of interest

Finance /Banking; Quantitative Finance; OperationResearch/Decision Theory; Artificial Intelligence (in-cl. Robotics); Computational Mathematics and Nu-merical Analysis; Computing Methodologies

Target groups

Financial practitioners and academics

Type of publication

Monograph

Due August 2007

2007. XXII, 316 p. (International Series in Operations Research &

Management Science, Vol. 107) Hardcover

99,95 €

ISBN 978-0-387-71719-7

U. Zannier, Scuola Normale Superiore, Pisa, Italy (Ed.)

Diophantine Geometry

Proceedings

This book contains research articles on Diophan-tine Geometry, written by participants of a researchprogram held at the Ennio De Giorgi Mathemati-cal Research Center in Pisa, Italy, during the periodApril – July 2005. The authors are eminent experts inthe field. Several subfields of the main topic are pre-sented; the volume thus is particularly useful to get abroad overview of recent research developments.

Features

Originating from a focused and intense research pe-riod at the Research Center in Pisa

Fields of interest

Algebraic Geometry; Number Theory

Target groups

Postgraduates and researchers

Type of publication

Contributed volume

Due June 2007

2007. XVIII, 390 p. (CRM Series, Vol. 4) Softcover

25,00 €

ISBN 978-88-7642-206-5


U. Zannier, Scuola Normale Superiore, Pisa, Italy (Ed.)

Colloquium De Giorgi 2006

This book contains expositions of talks of the Col-loquio De Giorgi, given by eminent experts and ad-dressed to a ‘general’ public (audience) of mathe-maticians. The topics are prepared in such a way thatreaders will get some idea of recent progress in sever-al mathematical fields.

Features

Short introductions to topics of modern research

Fields of interest

Mathematics, general

Target groups

Mathematicians

Type of publication

Contributed volume

Due May 2007

2006. 57 p. (Colloquia (Scuola Normale Superiore), Vol. 1) Soft-

cover

16,00 €

ISBN 978-88-7642-212-6

H. Zhang, Shandong University, Shandong, China; L. Xie,

Nanyang Technological University, Singapore

Control and Estimation of Systems

with Input/Output Delays

Time delays exist in many engineering systems suchas transportation, communication, process engineer-ing and networked control systems. In recent years,time delay systems have attracted recurring inter-ests from research community. Much of the efforthas been focused on stability analysis and stabiliza-tion of time delay systems using the so-called Lya-punov-Krasovskii functional together with a linearmatrix inequality approach, which provides an effi-cient numerical tool for handling systems with delaysin state and/or inputs. Recently, some more interest-ing and fundamental development for systems withinput/output (i/o) delays has been made using timedomain or frequency domain approaches. These ap-proaches lead to analytical solutions to time delayproblems in terms of Riccati equations or spectralfactorizations. This monograph presents simple ana-lytical solutions to control and estimation problemsfor systems with multiple i/o delays via elementarytools such as projection. We propose a [..]

Features

Presents the latest results on estimation and controlfor time delay systems Some of the works are funda-mental to the time delay systems

Contents

Krein Space.- Optimal Estimation for Systems withMeasurement Delays.- Optimal Control for Systemswith Input/Output Delays.- H-Infinity Estimationfor Discrete-time Systems with Measurement De-lays.- H-Infinity Control for Discrete-time Systemswith Multiple Input Delays.- Linear Estimation forContinuous-time Systems with Measurement De-lays.- H-Infinity Estimation for Systems with Multi-ple State and Measurement Delays.- Optimal and H-Infinity Control of Continuous-time Systems withInput/Output Delays.

Fields of interest


Target groups

Faculty, graduate students, researchers and engineersin Control

Type of publication

Monograph

Due April 2007



79,95 €

ISBN 978-3-540-71118-6

B. Øksendal, University of Oslo, Norway; A. Sulem, INRIA Roc-

quencourt, Le Chesnay, France

Applied Stochastic Control of Jump

Diffusions

The main purpose of the book is to give a rigorousintroduction to the most important and useful solu-tion methods of various types of stochastic controlproblems for jump diffusions and its applications.Both the dynamic programming method and themaximum principle method are discussed, as well asthe relation between them. Corresponding verifica-tion theorems involving the Hamilton-Jacobi Bell-man equation and/or (quasi-)variational inequalitiesare formulated. The text emphasises applications,mostly to finance. All the main results are illustratedby examples and exercises appear at the end of eachchapter with complete solutions. This will help thereader understand the theory and see how to apply it.The book assumes some basic knowledge of stochas-tic analysis, measure theory and partial differentialequations. In the 2nd edition there is a new chapteron optimal control of stochastic partial differentialequations driven by Lévy processes. There is also anew section on optimal stopping with [..]

Fields of interest

Operations Research, Mathematical Programming;Operator Theory; Quantitative Finance; ProbabilityTheory and Stochastic Processes

Target groups

Students and lecturers in stochastic control of jumpdiffusions, verifications theorems, and applicationsto finance

Type of publication


Due May 2007

2007. XIII, 257 p. 27 illus. (Universitext) Softcover

39,95 €

ISBN 978-3-540-69825-8

Order Now ! Springer Customized Book List

Yes, please send me:

copies ISBN € / £

















All € and £ prices are net prices subject to local VAT, e.g. in Germany 7% VAT for books and 19% VAT for electronic products. Pre-publication pricing: Unless otherwise stated, pre-pub prices are valid through the end of the third month following publication, and therefore are subject to change. All prices exclusive of carriage charges. Prices and other details are subject to change without notice. All errors and omissions excepted.

Springer Distribution Center GmbH, Haberstrasse 7, 69126 Heidelberg, Germany 7 Call: + 49 (0) 6221-345-4301 7 Fax: +49 (0)6221-345-4229 7 Email: [email protected] 7 Web: springer.com

Available from Name

Dept.

Institution

Street

City / ZIP-Code

Date Signature

Country

Email

Please bill me

Please charge my credit card: Eurocard/Access/Mastercard Visa/Barclaycard/Bank/Americard AmericanExpress

Number Valid until

Date post:	20-Jul-2020
Category:	Documents
Upload:	others
View:	0 times
Download:	0 times

Springer Customized Book List...Oct 09, 2007 · spatial logics have attracted much attention in...

Documents